*
4.13*
, for character tables 71.7+
4.13-
4.13-A
3.1-a
3.1-B
3.1-b
3.1-C
3.1-D
3.1-E
3.1-e
3.1-f
3.1-g
3.1-g -g
3.1-h
3.1-i
3.1-K
3.1-L
3.1-l
3.1-M
3.1-m
3.1-n
3.1-O
3.1-o
3.1-P
3.1-p
3.1-q
3.1-R
3.1-r
3.1-s
3.1-T
3.1-U
3.1-W
3.1-X
3.1-x
3.1-y
3.1-z
3.1/
4.13/
, for character tables 71.7\"
27.2\'
27.2\\
27.2\b
27.2\c
27.2\r
27.2\XYZ
27.2^
, for class functions 72.4ExternalSet
, computing orbits 85.3InstallReadlineMacro
6.9-4InvocationReadlineMacro
6.9-4Orbits
, as attributes for external sets 85.3ReadlineInitLine
6.9-1\<
31.11-1\<
, for associative words 37.3-2\<
, for nonassociative words 36.2-2\<
, for pcwords 46.2-1\<
, for permutations 42.2-1\<
, for two elements in a f.p. group 47.3-2\<
, for two strings 27.5-2\*
31.12-1\*
, for pcwords 46.2-2\+
31.12-1\.
29.7-3\.\:\=
29.7-3\/
31.12-1\/
, for a free group and a list of elements 47.2-1\/
, for a free monoid and a list of pairs of elements 53.5-1\/
, for a free semigroup and a list of pairs of elements 53.2-1\=
31.11-1\=
, for associative words 37.3-1\=
, for nonassociative words 36.2-1\=
, for pcwords 46.2-1\=
, for permutations 42.2-1\=
, for two elements in a f.p. group 47.3-1\=
, for two elements in a f.p. semigroup 53.3-1\=
, for two strings 27.5-1\[\]
21.2-1\[\]\:\=
21.2-1\^
31.12-1\^
, for a field and a pair of integers 61.9-5\^
, for a field and an integer 61.9-4\in
, element test for lists 21.8-1\in
, for a collection 30.6-1\in
, for strictly sorted lists 21.19-1\mod
31.12-1\mod
, for residue class rings 14.5-1\mod
, for two pcgs 45.9-5\{\}
21.3-1\{\}\:\=
21.4-1^
4.13AbelianGroup
50.1-3AbelianInvariants
39.16-1AbelianInvariants
, for a character table 71.8-5AbelianInvariants
, for groups 39.16-1AbelianInvariantsMultiplier
39.24-3AbelianInvariantsNormalClosureFpGroup
47.15-4AbelianInvariantsNormalClosureFpGroupRrs
47.15-5AbelianInvariantsOfList
25.2-10AbelianInvariantsSubgroupFpGroup
47.15-1AbelianInvariantsSubgroupFpGroupMtc
47.15-2AbelianInvariantsSubgroupFpGroupRrs
, for a group and a coset table 47.15-3AbelianInvariantsSubgroupFpGroupRrs
, for two groups 47.15-3AbelianNumberField
60.1-2AbelianSubfactorAction
41.8-3AbsInt
14.2-6AbsoluteDiameter
19.2-4AbsoluteIrreducibleModules
71.15-2AbsolutelyIrreducibleModules
71.15-2AbsoluteValue
18.1-8AbsolutIrreducibleModules
71.15-2AbstractWordTietzeWord
48.3-2AClosestVectorCombinationsMatFFEVecFFE
23.6-5AClosestVectorCombinationsMatFFEVecFFECoords
23.6-5Acos
19.2-1Acosh
19.2-1ActingAlgebra
62.11-13ActingDomain
41.12-3Action
, for a group, an action domain, etc. 41.7-2Action
, for an external set 41.7-2ActionHomomorphism
, for a group, an action domain, etc. 41.7-1ActionHomomorphism
, for an action image 41.7-1ActionHomomorphism
, for an external set 41.7-1ActorOfExternalSet
41.12-15Add
21.4-2AddCoeffs
23.4-2AddDictionary
28.3-4AddGenerator
48.5-1AddGeneratorsExtendSchreierTree
43.11-10AdditiveInverse
31.10-9AdditiveInverseAttr
31.10-9AdditiveInverseImmutable
31.10-9AdditiveInverseMutable
31.10-9AdditiveInverseOp
31.10-9AdditiveInverseSameMutability
31.10-9AdditiveInverseSM
31.10-9AdditiveNeutralElement
55.3-5AddRelator
48.5-3AddRowVector
23.4-1AddRule
38.1-9AddRuleReduced
38.1-10AddSet
21.19-4AdjointAssociativeAlgebra
64.9-2AdjointBasis
62.9-5AdjointMatrix
64.9-1AdjointModule
62.11-19AffineAction
45.14-4AffineActionLayer
45.14-5Agemo
39.14-2Algebra
62.2-1AlgebraByStructureConstants
62.4-1AlgebraGeneralMappingByImages
62.10-1AlgebraHomomorphismByImages
62.10-2AlgebraHomomorphismByImagesNC
62.10-3AlgebraicExtension
67.1-1AlgebraWithOne
62.2-2AlgebraWithOneGeneralMappingByImages
62.10-4AlgebraWithOneHomomorphismByImages
62.10-5AlgebraWithOneHomomorphismByImagesNC
62.10-6AllAutomorphisms
40.9-3AllBlocks
41.11-4AllEndomorphisms
40.9-3AllHomomorphismClasses
40.9-2AllHomomorphisms
40.9-3AllIrreducibleSolvableGroups
50.11-3AllLibraryGroups
50.5AllPrimitiveGroups
50.5AllSmallGroups
50.7-2AllSmallNonabelianSimpleGroups
39.15-16AllSubgroups
39.19-5AllTransitiveGroups
50.5Alpha
75.2-1AlternatingGroup
, for a degree 50.1-8AlternatingGroup
, for a domain 50.1-8and
20.4-2and
, for filters 13.2and
, for filters 20.4-2ANFAutomorphism
60.4-2AntiSymmetricParts
72.11-3Append
21.4-5AppendTo
9.7-3AppendTo
, for streams 10.4-4ApplicableMethod
7.2-1ApplicableMethodTypes
7.2-1Apply
21.20-10ApplySimpleReflection
64.7-4ApproximateSuborbitsStabilizerPermGroup
43.10-14ARCH_IS_MAC_OS_X
3.4-2ARCH_IS_UNIX
3.4-1ARCH_IS_WINDOWS
3.4-3arg
, special function argument 4.11-1arg
, special function argument 4.23Argument
19.2-1ArithmeticElementCreator
80.9-1Arrangements
16.2-4AsAlgebra
62.9-7AsAlgebraWithOne
62.9-8AsBinaryRelationOnPoints
, for a binary relation 33.3-3AsBinaryRelationOnPoints
, for a permutation 33.3-3AsBinaryRelationOnPoints
, for a transformation 33.3-3AsBlockMatrix
24.17-1AscendingChain
39.17-16AsDivisionRing
58.1-9AsDuplicateFreeList
21.20-5AsField
58.1-9AsGroup
39.2-5AsGroupGeneralMappingByImages
40.1-5Asin
19.2-1Asinh
19.2-1AsInternalFFE
59.2-6AsLeftIdeal
56.2-11AsLeftModule
57.1-5AsList
30.3-8AsMagma
35.2-10AsMonoid
52.1-5AsPolynomial
66.4-5AsRightIdeal
56.2-11AsSemigroup
51.1-5Assert
7.5-3AssertionLevel
7.5-2AsSet
30.3-10AssignGeneratorVariables
37.2-3AssignNiceMonomorphismAutomorphismGroup
40.8-1AssociatedPartition
16.2-28AssociatedReesMatrixSemigroupOfDClass
51.8-10Associates
56.5-4AssocWordByLetterRep
37.6-9AsSortedList
30.3-9AsSSortedList
30.3-10AsStruct
31.4AsSubalgebra
62.9-9AsSubalgebraWithOne
62.9-10AsSubgroup
39.3-4AsSubgroupOfWholeGroupByQuotient
47.13-3AsSubmagma
35.2-11AsSubmonoid
52.1-6AsSubsemigroup
51.1-6AsSubspace
61.2-4AsSubstruct
31.8AsTransformation
54.1-13AsTransformationNC
54.1-13AsTwoSidedIdeal
56.2-11AsVectorSpace
61.2-3Atan
19.2-1Atan2
19.2-1Atanh
19.2-1AtlasIrrationality
18.4-6AttributeValueNotSet
13.6-3AugmentationIdeal
65.1-7AugmentedCosetTableInWholeGroup
47.9-1AugmentedCosetTableMtc
47.9-2AugmentedCosetTableRrs
47.9-3AutomorphismDomain
40.7-3AutomorphismGroup
40.7-1AutomorphismGroup
, for groups with pcgs 45.16AutomorphismsOfTable
71.9-4BANNER
77.4BaseFixedSpace
24.7-8BaseIntersectionIntMats
25.1-5BaseIntMat
25.1-4BaseMat
24.11-1BaseMatDestructive
24.11-2BaseOfGroup
43.10-2BaseOrthogonalSpaceMat
24.11-3BaseStabChain
43.10-1BaseSteinitzVectors
24.11-5BasicSpinRepresentationOfSymmetricGroup
39.24-9BasicWreathProductOrdering
34.4-11Basis
61.5-2BasisNC
61.5-2BasisVectors
61.6-1Bell
16.1-3Bernoulli
16.1-4BestQuoInt
14.3-2BestSplittingMatrix
71.17-5BiAlgebraModule
62.11-6BiAlgebraModuleByGenerators
62.11-3BibEntry
76.3-14BilinearFormMat
64.6-13BinaryRelationByElements
33.1-2BinaryRelationOnPoints
33.3-1BinaryRelationOnPointsNC
33.3-1BinaryRelationTransformation
54.1-15BindGlobal
4.9-7Binomial
16.1-2BisectInterval
19.2-4BlistList
22.2-1BlockMatrix
24.17-2Blocks
, for a group, an action domain, etc. 41.11-1Blocks
, for an external set 41.11-1BlocksInfo
71.11-3BlownUpMat
24.13-3BlownUpVector
24.13-4BlowupInterval
19.2-4BlowUpIsomorphism
44.3-3BombieriNorm
66.12-1BrauerCharacterValue
72.15-2BrauerTable
, for a character table, and a prime integer 71.3-2BrauerTable
, for a group, and a prime integer 71.3-2BrauerTableOp
71.3-2BravaisGroup
44.6-11BravaisSubgroups
44.6-12BravaisSupergroups
44.6-13break
statement 4.21CallFuncList
5.2-1CanComputeIndex
39.25-5CanComputeIsSubset
39.25-6CanComputeSize
39.25-3CanComputeSizeAnySubgroup
39.25-4CanEasilyCompareElements
31.11-2CanEasilyCompareElementsFamily
31.11-2CanEasilyComputePcgs
45.2-3CanEasilyComputeWithIndependentGensAbelianGroup
39.25-2CanEasilySortElements
31.11-2CanEasilySortElementsFamily
31.11-2CanEasilyTestMembership
39.25-1CanonicalBasis
61.5-3CanonicalGenerators
64.6-14CanonicalPcElement
45.5-9CanonicalPcgs
45.8-2CanonicalPcgsByGeneratorsWithImages
45.9-7CanonicalRepresentativeDeterminatorOfExternalSet
41.12-14CanonicalRepresentativeOfExternalSet
41.12-13CanonicalRightCosetElement
39.7-3CartanMatrix
64.6-12CartanSubalgebra
64.3-7Cartesian
, for a list 21.20-16Cartesian
, for various objects 21.20-16CategoriesOfObject
13.3-1CategoryCollections
30.2-4CategoryFamily
79.1-2Ceil
19.2-1Center
35.4-5CentralCharacter
72.8-17CentralIdempotentsOfAlgebra
62.9-17Centralizer
, for a class of objects in a magma 35.4-4Centralizer
, for a magma and a submagma 35.4-4Centralizer
, for a magma and an element 35.4-4Centralizer
, for groups with pcgs 45.16CentralizerInGLnZ
44.6-8CentralizerModulo
39.18-7CentralizerSizeLimitConsiderFunction
45.17-2CentralNormalSeriesByPcgs
45.11-8Centre
35.4-5Centre
, for groups with pcgs 45.16CentreOfCharacter
72.8-11CF
, for (subfield and) conductor 60.1-1CF
, for (subfield and) generators 60.1-1ChangeStabChain
43.11-3Character
, for a character table and a list 72.6-3Character
, for a group and a list 72.6-3CharacterDegrees
, for a character table 71.8-1CharacterDegrees
, for a group 71.8-1Characteristic
31.10-1Characteristic
, for a class function 72.4-1CharacteristicPolynomial
24.13-1CharacterNames
71.9-6CharacterParameters
71.9-7CharacterTable
, for a group 71.3-1CharacterTable
, for a string 71.3-1CharacterTable
, for an ordinary character table 71.3-1CharacterTableDirectProduct
71.20-1CharacterTableFactorGroup
71.20-3CharacterTableIsoclinic
71.20-4CharacterTableRegular
71.3-3CharacterTableWithSortedCharacters
71.21-1CharacterTableWithSortedClasses
71.21-3CharacterTableWithStoredGroup
71.6-4CharacterTableWreathSymmetric
71.20-5CharInt
27.7-2CharsFamily
27.3-5CharSInt
27.7-4CheckDigitISBN
14.6-1CheckDigitISBN13
14.6-1CheckDigitPostalMoneyOrder
14.6-1CheckDigitTestFunction
14.6-2CheckDigitUPC
14.6-1CheckFixedPoints
73.5-10CheckForHandlingByNiceBasis
61.12-3CheckPermChar
73.7-2ChevalleyBasis
64.6-2ChiefNormalSeriesByPcgs
45.11-16ChiefSeries
39.17-1ChiefSeriesThrough
39.17-2ChiefSeriesUnderAction
39.17-3ChineseRem
14.3-9Chomp
27.6-18CIUnivPols
66.1-5ClassElementLattice
39.20-2ClassesSolvableGroup
45.17-1ClassFunction
, for a character table and a list 72.6-1ClassFunction
, for a group and a list 72.6-1ClassFunctionSameType
72.6-4ClassMultiplicationCoefficient
, for character tables 71.12-7ClassMultiplicationCoefficient
, for character tables 71.12-7ClassNames
71.9-6ClassNamesTom
70.7-5ClassOrbit
71.9-12ClassParameters
71.9-7ClassPermutation
71.21-5ClassPositionsOfAgemo
71.10-2ClassPositionsOfCenter
, for a character table 71.10-3ClassPositionsOfCentre
, for a character 72.8-12ClassPositionsOfCentre
, for a character table 71.10-3ClassPositionsOfDerivedSubgroup
71.10-5ClassPositionsOfDirectProductDecompositions
71.10-4ClassPositionsOfElementaryAbelianSeries
71.10-6ClassPositionsOfFittingSubgroup
71.10-7ClassPositionsOfKernel
72.8-10ClassPositionsOfLowerCentralSeries
71.10-8ClassPositionsOfMaximalNormalSubgroups
71.10-1ClassPositionsOfMinimalNormalSubgroups
71.10-1ClassPositionsOfNormalClosure
71.10-12ClassPositionsOfNormalSubgroup
71.23-2ClassPositionsOfNormalSubgroups
71.10-1ClassPositionsOfPCore
71.10-11ClassPositionsOfSupersolvableResiduum
71.10-10ClassPositionsOfUpperCentralSeries
71.10-9ClassRoots
71.9-13ClassStructureCharTable
71.12-8ClassTypesTom
70.7-4CleanedTailPcElement
45.5-11ClearCacheStats
7.7-12ClearProfile
7.7-9CloseMutableBasis
61.8-6CloseStream
10.2-1ClosureGroup
39.4-1ClosureGroupAddElm
39.4-2ClosureGroupCompare
39.4-2ClosureGroupDefault
39.4-3ClosureGroupIntest
39.4-2ClosureLeftModule
57.2-3ClosureNearAdditiveGroup
, for a near-additive group and an element 55.4-1ClosureNearAdditiveGroup
, for two near-additive groups 55.4-1ClosureRing
, for a ring and a ring element 56.1-8ClosureRing
, for two rings 56.1-8ClosureStruct
31.3ClosureSubgroup
39.4-4ClosureSubgroupNC
39.4-4Coboundaries
64.12-7Cochain
64.12-2CochainSpace
64.12-3Cocycles
, for Lie algebra module 64.12-6CodePcGroup
46.9-2CodePcgs
46.9-1Coefficients
61.6-3CoefficientsAndMagmaElements
65.2-4CoefficientsFamily
66.19-3CoefficientsMultiadic
14.3-8CoefficientsOfLaurentPolynomial
66.13-2CoefficientsOfUnivariatePolynomial
66.4-9CoefficientsOfUnivariateRationalFunction
66.4-7CoefficientsQadic
14.3-7CoefficientsRing
66.15-3CoeffsCyc
18.1-10CoeffsMod
23.4-4COHORTS_PRIMITIVE_GROUPS
50.9-4CoKernelOfAdditiveGeneralMapping
32.10-6CoKernelOfMultiplicativeGeneralMapping
32.9-6CollapsedMat
73.5-16Collected
21.20-3CollectionsFamily
30.2-1ColorPrompt
3.6-1ColumnIndexOfReesMatrixSemigroupElement
51.8-8ColumnIndexOfReesZeroMatrixSemigroupElement
51.8-8Combinations
16.2-1CombinatorialCollector
46.4-2Comm
31.12-3Comm
, for words 37.4CommutativeDiagram
73.5-9CommutatorFactorGroup
39.18-3CommutatorLength
39.12-4CommutatorLength
, for a character table 71.8-5CommutatorSubgroup
39.12-2Compacted
21.20-2CompanionMat
24.13-5CompareVersionNumbers
76.3-6CompatibleConjugacyClasses
71.6-5CompatiblePairs
46.8-8ComplementClassesRepresentatives
39.11-6ComplementClassesRepresentativesEA
39.23-4ComplementIntMat
25.1-6ComplementSystem
39.13-5ComplexConjugate
18.5-2ComplexConjugate
, for a class function 72.4-2ComplexI
19.2-1ComplexificationQuat
, for a matrix 62.5-2ComplexificationQuat
, for a vector 62.5-2CompositionMapping
32.2-4CompositionMapping
, for Frobenius automorphisms 59.4-1CompositionMapping2
32.2-5CompositionMapping2General
32.2-5CompositionMaps
73.5-1CompositionOfStraightLinePrograms
37.8-7CompositionSeries
39.17-5CompositionSeries
, for groups with pcgs 45.16ComputedBrauerTables
71.3-2ComputedClassFusions
73.3-2ComputedIndicators
71.12-5ComputedIsPSolubleCharacterTables
71.12-3ComputedIsPSolvableCharacterTables
71.12-3ComputedPowerMaps
73.1-1ComputedPrimeBlockss
71.11-1Concatenation
, for a list of lists 21.20-1Concatenation
, for several lists 21.20-1Conductor
, for a collection of cyclotomics 18.1-7Conductor
, for a cyclotomic 18.1-7ConfluentRws
38.1-6Congruences
, for character tables 73.6-2ConjugacyClass
39.10-1ConjugacyClasses
, attribute 39.10-2ConjugacyClasses
, for character tables 71.6-2ConjugacyClasses
, for groups with pcgs 45.16ConjugacyClasses
, for linear groups 50.3ConjugacyClassesByOrbits
39.10-4ConjugacyClassesByRandomSearch
39.10-3ConjugacyClassesMaximalSubgroups
39.19-4ConjugacyClassesPerfectSubgroups
39.20-7ConjugacyClassesSubgroups
39.19-3ConjugacyClassSubgroups
39.19-1ConjugateDominantWeight
64.7-6ConjugateDominantWeightWithWord
64.7-6ConjugateGroup
39.2-6Conjugates
58.3-6ConjugateSubgroup
39.3-8ConjugateSubgroups
39.3-9ConjugatorAutomorphism
40.6-2ConjugatorAutomorphismNC
40.6-2ConjugatorIsomorphism
40.6-1ConjugatorOfConjugatorIsomorphism
40.6-5ConsiderKernels
73.6-3ConsiderSmallerPowerMaps
73.6-4ConsiderStructureConstants
73.3-7ConsiderTableAutomorphisms
73.7-3ConstantTimeAccessList
21.17-6ConstituentsCompositionMapping
32.2-7ConstituentsOfCharacter
72.8-8ContainedCharacters
73.5-17ContainedDecomposables
73.5-17ContainedMaps
73.5-6ContainedPossibleCharacters
73.5-15ContainedPossibleVirtualCharacters
73.5-15ContainedSpecialVectors
73.5-15ContainedTom
70.9-5ContainingTom
70.9-6continue
statement 4.22ContinuedFractionApproximationOfRoot
15.6-2ContinuedFractionExpansionOfRoot
15.6-1ConvertToBlistRep
22.5-1ConvertToCharacterTable
71.3-5ConvertToCharacterTableNC
71.3-5ConvertToMatrixRep
, for a list (and a field) 24.14-2ConvertToMatrixRep
, for a list (and a prime power) 24.14-2ConvertToMatrixRepNC
, for a list (and a field) 24.14-2ConvertToMatrixRepNC
, for a list (and a prime power) 24.14-2ConvertToRangeRep
21.22-2ConvertToStringRep
27.3-2ConvertToTableOfMarks
70.6-5ConvertToVectorRep
, for a list (and a field) 23.3-1ConvertToVectorRep
, for a list (and a prime power) 23.3-1ConvertToVectorRepNC
, for a list (and a field) 23.3-1ConvertToVectorRepNC
, for a list (and a prime power) 23.3-1ConwayPolynomial
59.5-1CopyListEntries
21.4-4CopyOptionsDefaults
43.11-2CopyStabChain
43.11-1Core
39.11-2CorrespondingGeneratorsByModuloPcgs
45.9-6Cos
19.2-1CosetDecomposition
39.7-5CosetLeadersMatFFE
23.6-6CosetTable
47.6-1CosetTableBySubgroup
47.6-4CosetTableDefaultLimit
47.6-7CosetTableDefaultMaxLimit
47.6-6CosetTableFromGensAndRels
47.6-5CosetTableInWholeGroup
47.8-1CosetTableOfFpSemigroup
53.7-1CosetTableStandard
47.7-1Cosh
19.2-1Cot
19.2-1Coth
19.2-1CrcFile
9.7-7CrcString
27.8-4CrystGroupDefaultAction
44.7-1Csc
19.2-1Csch
19.2-1Cuberoot
19.2-1Cycle
41.9-3CycleIndex
, for a permutation and an action domain 41.9-7CycleIndex
, for a permutation group and an action domain 41.9-7CycleLength
41.9-4CycleLengths
41.9-6Cycles
41.9-5CycleStructureClass
72.8-14CycleStructurePerm
42.4-2CyclicExtensionsTom
, for a list of primes 70.9-7CyclicExtensionsTom
, for a prime 70.9-7CyclicGroup
50.1-2CyclotomicField
, for (subfield and) conductor 60.1-1CyclotomicField
, for (subfield and) generators 60.1-1CyclotomicPolynomial
66.9-1Cyclotomics
18.1-2CyclotomicsFamily
18.1-3DataType
13.9-2DayDMY
27.9-4DaysInMonth
27.9-2DaysInYear
27.9-1DeclareAttribute
79.17-3DeclareAttribute
, example 80.5DeclareAttribute!example
80.8-3DeclareAutoPackage
77.2DeclareAutoreadableVariables
76.3-8DeclareCategory
79.17-1DeclareFilter
79.17-5DeclareGlobalFunction
79.17-7DeclareGlobalVariable
79.17-8DeclareHandlingByNiceBasis
61.12-1DeclareInfoClass
7.4-2DeclareOperation
79.17-6DeclarePackage
77.2DeclarePackageAutoDocumentation
77.2DeclarePackageDocumentation
77.2DeclareProperty
79.17-4DeclareRepresentation
79.17-2DeclareRepresentation
, belongs to implementation part 79.18DeclareRepresentation
, example 80.6DeclareSynonym
79.17-10DeclareSynonymAttr
79.17-10DeclareUserPreference
3.2-4DecodeTree
48.10-1DecomposedFixedPointVector
70.9-8DecomposeTensorProduct
64.13-3Decomposition
25.4-1DecompositionInt
25.4-5DecompositionMatrix
71.11-4Decreased
72.10-7DEFAULTDISPLAYSTRING
27.6-2DefaultField
, for a list of generators 58.1-4DefaultField
, for cyclotomics 18.1-16DefaultField
, for finite field elements 59.3-1DefaultField
, for several generators 58.1-4DefaultFieldByGenerators
58.1-5DefaultFieldOfMatrix
24.4-2DefaultFieldOfMatrixGroup
44.2-2DefaultInfoHandler
7.4-6DefaultRing
, for a collection 56.1-3DefaultRing
, for finite field elements 59.3-1DefaultRing
, for ring elements 56.1-3DefaultRingByGenerators
56.1-5DefaultStabChainOptions
43.8-3DEFAULTVIEWSTRING
27.6-4DefiningPolynomial
58.2-7DefiningQuotientHomomorphism
47.13-4DegreeFFE
, for a FFE 59.2-1DegreeFFE
, for a matrix of FFEs 59.2-1DegreeFFE
, for a vector of FFEs 59.2-1DegreeIndeterminate
66.6-1DegreeOfBinaryRelation
33.2-10DegreeOfCharacter
72.8-4DegreeOfLaurentPolynomial
66.5-3DegreeOfTransformation
54.1-6DegreeOfTransformationSemigroup
51.3-2DegreeOverPrimeField
58.2-6Delta
75.2-2DenominatorCyc
18.1-11DenominatorOfModuloPcgs
45.9-4DenominatorOfRationalFunction
66.4-3DenominatorRat
17.2-5DenseHashTable
28.6-1DenseIntKey
28.5-1DepthOfPcElement
45.5-4DepthOfUpperTriangularMatrix
24.12-3Derangements
16.2-14Derivations
64.2-6Derivative
66.6-5DerivedLength
39.17-8DerivedSeriesOfGroup
39.17-7DerivedSubgroup
39.12-3DerivedSubgroupsTom
70.9-2DerivedSubgroupsTomPossible
70.9-3DerivedSubgroupsTomUnique
70.9-3DerivedSubgroupTom
70.9-2DescriptionOfRootOfUnity
18.1-13Determinant
24.4-4DeterminantIntMat
25.3-1DeterminantMat
24.4-4DeterminantMatDestructive
24.4-5DeterminantMatDivFree
24.4-6DeterminantOfCharacter
72.8-18DiagonalizeIntMat
25.2-8DiagonalizeMat
24.9-3DiagonalMat
24.5-4DiagonalOfMat
24.12-1DictionaryByPosition
28.3-1DicyclicGroup
50.1-6Difference
30.5-4DifferenceBlist
22.3-3DihedralGroup
50.1-5Dimension
57.3-3DimensionOfHighestWeightModule
64.13-4DimensionOfMatrixGroup
44.2-1DimensionOfVectors
61.9-6DimensionsLoewyFactors
39.17-15DimensionsMat
24.4-1DirectoriesLibrary
9.3-5DirectoriesPackageLibrary
76.3-4DirectoriesPackagePrograms
76.3-5DirectoriesSystemPrograms
9.3-6Directory
9.3-2DirectoryContents
9.3-7DirectoryCurrent
9.3-4DirectoryDesktop
9.3-8DirectoryHome
9.3-9DirectoryTemporary
9.3-3DirectProduct
49.1-1DirectProductOp
49.1-1DirectSumDecomposition
, for Lie algebras 62.9-18DirectSumOfAlgebraModules
, for a list of Lie algebra modules 62.11-23DirectSumOfAlgebraModules
, for two Lie algebra modules 62.11-23DirectSumOfAlgebras
, for a list of algebras 62.9-14DirectSumOfAlgebras
, for two algebras 62.9-14DisableAttributeValueStoring
13.6-5Discriminant
66.6-6Display
6.3-6Display
, for a character table 71.13-3Display
, for a ffe 59.6-1Display
, for a table of marks 70.4-3Display
, for class functions 72.5-3DisplayCacheStats
7.7-11DisplayCompositionSeries
39.17-6DisplayEggBoxOfDClass
51.7-7DisplayImfInvariants
50.12-2DisplayInformationPerfectGroups
, for a pair [ order, index ] 50.8-7DisplayInformationPerfectGroups
, for group order (and index) 50.8-7DisplayOptions
71.13-4DisplayOptionsStack
8.1-6DisplayPackageLoadingLog
76.2-4DisplayProfile
7.7-8DisplayString
27.6-1DistancePerms
42.2-2DistancesDistributionMatFFEVecFFE
23.6-4DistancesDistributionVecFFEsVecFFE
23.6-3DistanceVecFFE
23.6-2DivisionRingByGenerators
58.1-8DivisorsInt
14.4-12DixonInit
71.17-2DixonRecord
71.17-1DixonSplit
71.17-4DixontinI
71.17-3DMYDay
27.9-3DMYhmsSeconds
27.9-11DnLattice
72.10-8DnLatticeIterative
72.10-9do
4.20Domain
31.9-3DomainByGenerators
31.9-3DominantCharacter
, for a root system and a highest weight 64.13-2DominantCharacter
, for a semisimple Lie algebra and a highest weight 64.13-2DominantWeights
64.13-1DotFileLatticeSubgroups
39.20-3DoubleCoset
39.9-1DoubleCosetRepsAndSizes
39.9-5DoubleCosets
39.9-3DoubleCosetsNC
39.9-3DoubleCoverOfAlternatingGroup
39.24-11DoubleHashArraySize
28.7-2DownEnv
6.5-1DuplicateFreeList
21.20-4DxIncludeIrreducibles
71.17-6E
18.1-1EANormalSeriesByPcgs
45.11-4Earns
, for a group, an action domain, etc. 41.10-6Earns
, for an external set 41.10-6EB
18.4-1EC
18.4-1ED
18.4-1Edit
6.10-1EE
18.4-1EF
18.4-1EG
18.4-1EggBoxOfDClass
51.7-6EH
18.4-1EI
18.4-2Eigenspaces
24.8-4Eigenvalues
24.8-3EigenvaluesChar
72.8-19Eigenvectors
24.8-5EJ
18.4-4EK
18.4-4EL
18.4-4ElementaryAbelianGroup
50.1-4ElementaryAbelianSeries
, for a group 39.17-9ElementaryAbelianSeries
, for a list 39.17-9ElementaryAbelianSeriesLargeSteps
39.17-9ElementaryDivisorsMat
24.9-1ElementaryDivisorsMatDestructive
24.9-1ElementaryDivisorsTransformationsMat
24.9-2ElementaryDivisorsTransformationsMatDestructive
24.9-2ElementOfFpGroup
47.4-5ElementOfFpSemigroup
53.4-2ElementOfMagmaRing
65.2-6ElementOrdersPowerMap
73.1-3ElementProperty
43.12-2Elements
30.3-11ElementsFamily
30.2-3ElementsStabChain
43.10-9elif
4.17EliminatedWord
37.4-6EliminationOrdering
66.17-10ElmWPObj
86.2-1else
4.17EM
18.4-4emacs
6.11Embedding
, example for direct products 49.1-1Embedding
, example for semidirect products 49.2-1Embedding
, example for wreath products 49.4-1Embedding
, for Lie algebras 64.1-3Embedding
, for a domain and a positive integer 32.2-10Embedding
, for group products 49.6-1Embedding
, for magma rings 65.3Embedding
, for two domains 32.2-10EmptyBinaryRelation
, for a degree 33.1-4EmptyBinaryRelation
, for a domain 33.1-4EmptyMatrix
24.5-3EmptyPlist
21.9-1EmptySCTable
62.4-3EmptyStabChain
43.11-7EmptyString
27.3-4EnableAttributeValueStoring
13.6-6end
4.23End
61.10-6EndlineFunc
5.1-5Enumerator
30.3-2EnumeratorByBasis
61.6-5EnumeratorByFunctions
, for a domain and a record 30.3-4EnumeratorByFunctions
, for a family and a record 30.3-4EnumeratorOfCombinations
16.2-2EnumeratorOfTuples
16.2-9EnumeratorSorted
30.3-3Epicentre
39.24-4EpimorphismFromFreeGroup
39.5-1EpimorphismNilpotentQuotient
47.14-4EpimorphismNonabelianExteriorSquare
39.24-6EpimorphismPGroup
47.14-3EpimorphismQuotientSystem
47.14-2EpimorphismSchurCover
39.24-1EpimorphismSolvableQuotient
47.14-6EqFloat
19.2-2EquivalenceClasses
, attribute 33.7-3EquivalenceClassOfElement
33.7-4EquivalenceClassOfElementNC
33.7-4EquivalenceClassRelation
33.7-2EquivalenceRelationByPairs
33.5-3EquivalenceRelationByPairsNC
33.5-3EquivalenceRelationByPartition
33.5-1EquivalenceRelationByPartitionNC
33.5-1EquivalenceRelationByProperty
33.5-4EquivalenceRelationByRelation
33.5-2EquivalenceRelationPartition
33.6-1ER
18.4-2Erf
19.2-1Error
6.6-1ErrorCount
6.6-2ErrorNoTraceBack
6.4-3ES
18.4-3ET
18.4-3EU
18.4-3EuclideanDegree
56.6-2EuclideanQuotient
56.6-3EuclideanRemainder
56.6-4EulerianFunction
39.16-3EulerianFunctionByTom
70.9-9EV
18.4-3EvalStraightLineProgElm
37.9-4EvalString
27.8-3EW
18.4-3EX
18.4-3ExactSizeConsiderFunction
39.21-5Exec
11.1-2Exp
19.2-1Exp10
19.2-1Exp2
19.2-1Expm1
19.2-1Exponent
39.16-2Exponent
, for a character table 71.8-5ExponentOfPcElement
45.5-2ExponentsConjugateLayer
45.6-1ExponentsOfCommutator
45.6-4ExponentsOfConjugate
45.6-3ExponentsOfPcElement
45.5-3ExponentsOfRelativePower
45.6-2ExponentSumWord
37.4-2ExponentSyllable
37.5-2ExtendedPcgs
45.7-8ExtendRootDirectories
76.2-3ExtendStabChain
43.11-4Extension
46.8-5ExtensionNC
46.8-5ExtensionRepresentatives
46.8-9Extensions
46.8-4ExteriorCentre
39.24-4ExteriorPowerOfAlgebraModule
64.15-2ExternalOrbit
41.12-9ExternalOrbits
, for a group, an action domain, etc. 41.12-11ExternalOrbits
, for an external set 41.12-11ExternalOrbitsStabilizers
, for a group, an action domain, etc. 41.12-12ExternalOrbitsStabilizers
, for an external set 41.12-12ExternalSet
41.12-2ExternalSubset
41.12-7Extract
72.10-5ExtraspecialGroup
50.1-7ExtRepDenominatorRatFun
66.21-3ExtRepNumeratorRatFun
66.21-2ExtRepOfObj
79.15-1ExtRepOfObj
, for a cyclotomic 18.1-12ExtRepPolynomialRatFun
66.21-6EY
18.4-3FactorCosetAction
41.8-1FactorCosetAction
, for fp groups 47.6-3FactorFreeSemigroupByRelations
53.2-2FactorGroup
39.18-2FactorGroupFpGroupByRels
47.2-2FactorGroupNC
39.18-2FactorGroupNormalSubgroupClasses
71.23-4FactorGroupTom
70.9-11Factorial
16.1-1Factorization
39.5-2Factors
56.5-9Factors
, for polynomials over abelian number fields 60.2-1Factors
, of polynomial 66.10-1FactorsInt
14.4-7FactorsInt
, using Pollard's Rho 14.4-7FactorsOfDirectProduct
71.20-2FactorsSquarefree
66.10-2fail
20.2-1FaithfulModule
, for Lie algebras 62.11-20FamiliesOfGeneralMappingsAndRanges
32.14-5FamiliesOfRows
71.22-5FamilyForOrdering
34.3-4FamilyObj
13.1-1FamilyPcgs
46.1-1FamilyRange
32.14-3FamilySource
32.14-4fi
4.17Fibonacci
16.3-1Field
, for (a field and) a list of generators 58.1-3Field
, for several generators 58.1-3FieldByGenerators
58.1-8FieldExtension
58.2-9FieldOfMatrixGroup
44.2-3FieldOverItselfByGenerators
58.2-2FileDescriptorOfStream
10.2-2Filename
, for a directory and a string 9.4-1Filename
, for a list of directories and a string 9.4-1FilenameFunc
5.1-4Filtered
21.20-20FindSl2
64.9-7First
21.20-22FittingSubgroup
39.12-5Flat
21.20-6Float
19.2-7FLOAT
, constants 19.2-6Floor
19.2-1FlushCaches
79.17-11for
loop 4.20ForAll
21.20-23ForAny
21.20-24FpElmComparisonMethod
47.3-3FpGroupPresentation
48.1-4FpGrpMonSmgOfFpGrpMonSmgElement
53.1-7FpLieAlgebraByCartanMatrix
64.11-1Frac
19.2-1FrattiniSubgroup
39.12-6FrattiniSubgroup
, for groups with pcgs 45.16FreeAlgebra
, for ring and several names 62.3-1FreeAlgebra
, for ring, rank (and name) 62.3-1FreeAlgebraWithOne
, for ring and several names 62.3-2FreeAlgebraWithOne
, for ring, rank (and name) 62.3-2FreeAssociativeAlgebra
, for ring and several names 62.3-3FreeAssociativeAlgebra
, for ring, rank (and name) 62.3-3FreeAssociativeAlgebraWithOne
, for ring and several names 62.3-4FreeAssociativeAlgebraWithOne
, for ring, rank (and name) 62.3-4FreeGeneratorsOfFpGroup
47.4-2FreeGeneratorsOfFpSemigroup
53.4-4FreeGeneratorsOfWholeGroup
47.4-2FreeGroup
, for a list of names 37.2-1FreeGroup
, for given rank 37.2-1FreeGroup
, for infinitely many generators 37.2-1FreeGroup
, for various names 37.2-1FreeGroupOfFpGroup
47.4-1FreeLeftModule
57.3-2FreeLieAlgebra
, for ring and several names 64.2-4FreeLieAlgebra
, for ring, rank (and name) 64.2-4FreeMagma
, for a list of names 36.4-1FreeMagma
, for given rank 36.4-1FreeMagma
, for infinitely many generators 36.4-1FreeMagma
, for various names 36.4-1FreeMagmaRing
65.1-1FreeMagmaWithOne
, for a list of names 36.4-2FreeMagmaWithOne
, for given rank 36.4-2FreeMagmaWithOne
, for infinitely many generators 36.4-2FreeMagmaWithOne
, for various names 36.4-2FreeMonoid
, for a list of names 52.1-9FreeMonoid
, for given rank 52.1-9FreeMonoid
, for infinitely many generators 52.1-9FreeMonoid
, for various names 52.1-9FreeMonoidOfRewritingSystem
53.6-7FreeProduct
, for a list 49.5-1FreeProduct
, for several groups 49.5-1FreeSemigroup
, for a list of names 51.1-8FreeSemigroup
, for given rank 51.1-8FreeSemigroup
, for infinitely many generators 51.1-8FreeSemigroup
, for various names 51.1-8FreeSemigroupOfFpSemigroup
53.4-3FreeSemigroupOfRewritingSystem
53.6-6FrobeniusAutomorphism
59.4-1FrobeniusCharacterValue
72.15-1FullMatrixAlgebra
62.5-4FullMatrixAlgebraCentralizer
62.9-15FullMatrixLieAlgebra
64.2-5FullMatrixModule
57.3-11FullMatrixSpace
61.9-5FullRowModule
57.3-9FullRowSpace
61.9-4FullTransformationSemigroup
51.3-5FunctionAction
41.12-4FunctionField
, for an integral ring and a list of indeterminate numbers 66.15-8FunctionField
, for an integral ring and a list of indeterminates 66.15-8FunctionField
, for an integral ring and a list of names (and an exclusion list) 66.15-8FunctionField
, for an integral ring and a rank (and an exclusion list) 66.15-8FunctionOperation
77.1FunctionsFamily
5.4-3FusionCharTableTom
70.11-1FusionConjugacyClasses
, for a homomorphism 73.3-1FusionConjugacyClasses
, for two character tables 73.3-1FusionConjugacyClasses
, for two groups 73.3-1FusionConjugacyClassesOp
, for a homomorphism 73.3-1FusionConjugacyClassesOp
, for two character tables 73.3-1FusionsAllowedByRestrictions
73.7-4FusionsTom
70.7-6gac
76.3-9GaloisCyc
, for a class function 72.4-2GaloisCyc
, for a cyclotomic 18.5-1GaloisCyc
, for a list of cyclotomics 18.5-1GaloisField
, for characteristic and degree 59.3-2GaloisField
, for characteristic and polynomial 59.3-2GaloisField
, for field size 59.3-2GaloisField
, for subfield and degree 59.3-2GaloisField
, for subfield and polynomial 59.3-2GaloisGroup
, for abelian number fields 60.4-1GaloisGroup
, of field 58.3-1GaloisGroup
, of rational class of a group 39.10-8GaloisMat
18.5-5GaloisStabilizer
60.2-5GaloisType
66.11-3Gamma
19.2-1GammaL
50.2-9gap.ini
3.2-1Gap3CatalogueIdGroup
50.7-7GAPInfo
3.5-1GAPInfo.Architecture
76.3-5GAPInfo.CommandLineOptions
3.1GAPInfo.Keywords
4.5GAPInfo.ProfileThreshold
7.7-8GAPInfo.RootPaths
9.2GAPInfo.UserGapRoot
9.2GAPInfo.Version
7.8GapInputPcGroup
46.6-1GapInputSCTable
62.4-5GAPKB_REW
53.6-2GAPTCENUM
47.6-5GasmanLimits
7.11-3GasmanMessageStatus
7.11-2GasmanStatistics
7.11-1GaussianIntegers
60.5-1GaussianRationals
60.1-3Gcd
, for (a ring and) a list of elements 56.7-1Gcd
, for (a ring and) several elements 56.7-1Gcdex
14.3-5GcdInt
14.3-4GcdOp
56.7-2GcdRepresentation
, for (a ring and) a list of elements 56.7-3GcdRepresentation
, for (a ring and) several elements 56.7-3GcdRepresentationOp
56.7-4GeneralisedEigenspaces
24.8-2GeneralisedEigenvalues
24.8-1GeneralizedEigenspaces
24.8-2GeneralizedEigenvalues
24.8-1GeneralLinearGroup
, for dimension and a ring 50.2-1GeneralLinearGroup
, for dimension and field size 50.2-1GeneralMappingByElements
32.2-1GeneralMappingsFamily
32.14-6GeneralOrthogonalGroup
50.2-6GeneralSemilinearGroup
50.2-9GeneralUnitaryGroup
50.2-3GeneratorsOfAdditiveGroup
55.3-4GeneratorsOfAdditiveMagma
55.3-2GeneratorsOfAdditiveMagmaWithZero
55.3-3GeneratorsOfAlgebra
62.9-1GeneratorsOfAlgebraModule
62.11-7GeneratorsOfAlgebraWithOne
62.9-2GeneratorsOfDivisionRing
58.1-6GeneratorsOfDomain
31.9-2GeneratorsOfEquivalenceRelationPartition
33.6-2GeneratorsOfField
58.1-7GeneratorsOfGroup
39.2-4GeneratorsOfIdeal
56.2-7GeneratorsOfLeftIdeal
56.2-8GeneratorsOfLeftModule
57.1-4GeneratorsOfLeftOperatorAdditiveGroup
57.1-3GeneratorsOfLeftVectorSpace
61.3-1GeneratorsOfMagma
35.4-1GeneratorsOfMagmaWithInverses
35.4-3GeneratorsOfMagmaWithOne
35.4-2GeneratorsOfMonoid
52.1-7GeneratorsOfNearAdditiveGroup
55.3-4GeneratorsOfNearAdditiveMagma
55.3-2GeneratorsOfNearAdditiveMagmaWithZero
55.3-3GeneratorsOfPresentation
48.1-3GeneratorsOfRightIdeal
56.2-9GeneratorsOfRightModule
57.1-9GeneratorsOfRightOperatorAdditiveGroup
57.1-8GeneratorsOfRing
56.1-6GeneratorsOfRingWithOne
56.3-4GeneratorsOfRws
38.1-12GeneratorsOfSemigroup
51.1-7GeneratorsOfStruct
31.3GeneratorsOfTwoSidedIdeal
56.2-7GeneratorsOfVectorSpace
61.3-1GeneratorsPrimeResidues
15.2-4GeneratorsSmallest
39.22-1GeneratorsSubgroupsTom
70.10-1GeneratorSyllable
37.5-3GetCyclotomicsLimit
18.6-1GetFusionMap
73.3-3GF
, for characteristic and degree 59.3-2GF
, for characteristic and polynomial 59.3-2GF
, for field size 59.3-2GF
, for subfield and degree 59.3-2GF
, for subfield and polynomial 59.3-2GL
, for dimension and a ring 50.2-1GL
, for dimension and field size 50.2-1GlobalMersenneTwister
14.7-4GlobalRandomSource
14.7-4GModuleByMats
, for empty list, the dimension, and a field 69.1-1GModuleByMats
, for generators and a field 69.1-1GO
50.2-6GQuotients
40.9-4Grading
62.9-20GreensDClasses
51.7-9GreensDClassOfElement
51.7-8GreensDRelation
51.7-1GreensHClasses
51.7-9GreensHClassOfElement
51.7-8GreensHRelation
51.7-1GreensJClasses
51.7-9GreensJClassOfElement
51.7-8GreensJRelation
51.7-1GreensLClasses
51.7-9GreensLClassOfElement
51.7-8GreensLRelation
51.7-1GreensRClasses
51.7-9GreensRClassOfElement
51.7-8GreensRRelation
51.7-1GroebnerBasis
, for a list and a monomial ordering 66.18-1GroebnerBasis
, for an ideal and a monomial ordering 66.18-1GroebnerBasisNC
66.18-1Group
, for a list of generators (and an identity element) 39.2-1Group
, for several generators 39.2-1GroupByGenerators
39.2-2GroupByGenerators
, with explicitly specified identity element 39.2-2GroupByRws
46.4-6GroupByRwsNC
46.4-6GroupGeneralMappingByImages
40.1-3GroupGeneralMappingByImages
, from group to itself 40.1-3GroupGeneralMappingByImagesNC
40.1-3GroupGeneralMappingByImagesNC
, from group to itself 40.1-3GroupHClassOfGreensDClass
51.7-10GroupHomomorphismByFunction
, by function (and inverse function) between two domains 40.1-4GroupHomomorphismByFunction
, by function and function that computes one preimage 40.1-4GroupHomomorphismByImages
40.1-1GroupHomomorphismByImagesNC
40.1-2GroupOfPcgs
45.4-5GroupRing
65.1-2GroupStabChain
43.10-5GroupWithGenerators
39.2-3GU
50.2-3HallSubgroup
39.13-3HallSystem
39.13-6HallSystem
, for groups with pcgs 45.16HasAbelianFactorGroup
39.18-5HasElementaryAbelianFactorGroup
39.18-6HasIndeterminateName
66.1-4HasParent
31.7-1HasseDiagramBinaryRelation
33.4-4HeadPcElementByNumber
45.5-12HELP_ADD_BOOK
84.1-1HELP_REMOVE_BOOK
84.1-2HELP_VIEWER_INFO
84.4-1HenselBound
66.12-3HermiteNormalFormIntegerMat
25.2-4HermiteNormalFormIntegerMatTransform
25.2-5HeuristicCancelPolynomials
66.24-3HexStringInt
27.6-8HighestWeightModule
64.14-5HMSMSec
27.9-7Hom
61.10-5HomeEnumerator
41.12-5HomomorphismQuotientSemigroup
51.6-2HomomorphismTransformationSemigroup
51.3-3Hypothenuse
19.2-1Ideal
56.2-1IdealByGenerators
56.2-4IdealNC
56.2-2Idempotents
35.4-6IdempotentsTom
70.7-8IdempotentsTomInfo
70.7-8IdentificationOfConjugacyClasses
71.6-3Identifier
, for character tables 71.9-8Identifier
, for tables of marks 70.7-9Identity
31.10-2IdentityBinaryRelation
, for a degree 33.1-3IdentityBinaryRelation
, for a domain 33.1-3IdentityFromSCTable
62.4-7IdentityMapping
32.2-9IdentityMat
24.5-1IdentityTransformation
54.1-4IdFunc
5.3-4IdGap3SolvableGroup
50.7-7IdGroup
50.7-5IdSmallGroup
50.7-5IdsOfAllSmallGroups
50.7-6if
statement 4.17Image
, for Frobenius automorphisms 59.4-1Image
, set of images of a collection under a mapping 32.4-6Image
, set of images of the source of a general mapping 32.4-6Image
, unique image of an element under a mapping 32.4-6ImageElm
32.4-5ImageListOfTransformation
54.1-7Images
, set of images of a collection under a mapping 32.4-7Images
, set of images of an element under a mapping 32.4-7Images
, set of images of the source of a general mapping 32.4-7ImagesElm
32.4-3ImageSetOfTransformation
54.1-8ImagesRepresentative
32.4-2ImagesSet
32.4-4ImagesSmallestGenerators
40.3-5ImagesSource
32.4-1ImaginaryPart
18.5-2ImfInvariants
50.12-3ImfMatrixGroup
50.12-4ImfNumberQClasses
50.12-1ImfNumberQQClasses
50.12-1ImfNumberZClasses
50.12-1Immutable
12.6-3ImmutableBasis
61.8-4ImmutableMatrix
24.14-1in
, for lists 21.8-1in
, operation for 30.6\in
, operation for testing membership 30.6IncreaseInterval
19.2-4IndependentGeneratorExponents
39.22-6IndependentGeneratorsOfAbelianGroup
39.22-5Indeterminate
, for a family and a number 66.1-1Indeterminate
, for a ring (and a name, and an exclusion list) 66.1-1Indeterminate
, for a ring (and a number) 66.1-1IndeterminateName
66.1-4Indeterminateness
73.5-13IndeterminateNumberOfLaurentPolynomial
66.13-3IndeterminateNumberOfUnivariateRationalFunction
66.1-2IndeterminateOfUnivariateRationalFunction
66.1-3IndeterminatesOfFunctionField
66.15-2IndeterminatesOfPolynomialRing
66.15-2Index
, for a group and its subgroup 39.3-2Index
, for two character tables 71.12-1IndexInWholeGroup
39.3-3IndexNC
, for a group and its subgroup 39.3-2Indicator
71.12-5IndicatorOp
71.12-5IndicesCentralNormalSteps
45.11-7IndicesChiefNormalSteps
45.11-15IndicesEANormalSteps
45.11-3IndicesInvolutaryGenerators
47.6-9IndicesNormalSteps
45.11-17IndicesOfAdjointBasis
62.9-6IndicesPCentralNormalStepsPGroup
45.11-11IndicesStabChain
43.10-7Indirected
73.5-4InducedAutomorphism
40.7-6InducedClassFunction
, for a given monomorphism 72.9-3InducedClassFunction
, for a supergroup 72.9-3InducedClassFunction
, for the character table of a supergroup 72.9-3InducedClassFunctions
72.9-4InducedClassFunctionsByFusionMap
72.9-5InducedCyclic
72.9-6InducedPcgs
45.7-4InducedPcgsByGenerators
45.7-5InducedPcgsByGeneratorsNC
45.7-5InducedPcgsByPcSequence
45.7-2InducedPcgsByPcSequenceAndGenerators
45.7-6InducedPcgsByPcSequenceNC
45.7-2InducedPcgsWrtFamilyPcgs
46.1-3InducedPcgsWrtSpecialPcgs
45.13-8Inequalities
72.14-5InertiaSubgroup
72.8-13Inf
19.2-4infinity
18.2-1Info
7.4-5InfoAlgebra
62.1-1InfoAttributes
13.6-4InfoBckt
43.12-4InfoCharacterTable
71.4-2InfoCoh
39.23-5InfoComplement
39.11-7InfoCoset
39.9-6InfoFpGroup
47.1-3InfoGroebner
66.18-4InfoGroup
39.2-8InfoLattice
39.20-9InfoLevel
7.4-4InfoMatrix
24.1-1InfoMonomial
75.1-1InfoNumtheor
15.1-1InfoOptions
8.1-7InfoPackageLoading
76.2-4InfoPcSubgroup
39.21-6InfoPoly
66.5-8InfoText
71.9-9InfoTom
70.6-1InfoWarning
7.4-7Init
14.7-3InitFusion
73.7-1InitPowerMap
73.6-1InjectionZeroMagma
35.2-12InnerAutomorphism
40.6-3InnerAutomorphismNC
40.6-3InnerAutomorphismsAutomorphismGroup
40.7-5InParentFOA
85.2-1InputFromUser
10.6-3InputLogTo
, for a filename 9.7-5InputLogTo
, for streams 10.4-6InputLogTo
, stop logging input 9.7-5InputOutputLocalProcess
10.8-2InputTextFile
10.5-1InputTextNone
10.9-1InputTextString
10.7-1InputTextUser
10.6-1InsertTrivialStabilizer
43.11-8InstallAtExit
6.7-2InstallCharReadHookFunc
10.10-1InstalledPackageVersion
76.3-3InstallFactorMaintenance
31.13-5InstallFlushableValue
79.17-9InstallGlobalFunction
79.17-7InstallHandlingByNiceBasis
61.12-1InstallImmediateMethod
78.6-1InstallIsomorphismMaintenance
31.13-6InstallMethod
78.2-1InstallOtherMethod
78.2-2InstallSubsetMaintenance
31.13-4InstallTrueMethod
78.7-1InstallValue
79.17-9Int
14.2-3Int
, for a FFE 59.2-3Int
, for a cyclotomic 18.1-5Int
, for strings 27.8-1IntChar
27.7-1Integers
, global variable 14.1-1IntegralizedMat
25.4-4IntegratedStraightLineProgram
37.8-8IntermediateGroup
39.17-17IntermediateResultOfSLP
37.8-10IntermediateResultOfSLPWithoutOverwrite
37.8-11IntermediateResultsOfSLPWithoutOverwrite
37.8-12IntermediateSubgroups
39.17-18InterpolatedPolynomial
56.7-10IntersectBlist
22.4-3Intersection
, for a list 30.5-2Intersection
, for groups with pcgs 45.16Intersection
, for various collections 30.5-2Intersection2
30.5-2IntersectionBlist
, for a list 22.3-2IntersectionBlist
, for various boolean lists 22.3-2IntersectionsTom
70.9-10IntersectSet
21.19-7IntFFE
59.2-3IntFFESymm
, for a FFE 59.2-4IntFFESymm
, for a vector of FFEs 59.2-4IntHexString
27.8-1IntScalarProducts
73.5-15IntVecFFE
59.2-5InvariantBilinearForm
44.5-1InvariantElementaryAbelianSeries
39.17-10InvariantLattice
44.6-6InvariantQuadraticForm
44.5-5InvariantSesquilinearForm
44.5-3InvariantSubgroupsElementaryAbelianGroup
39.21-2Inverse
31.10-8Inverse
, for a pcword 46.2-2InverseAttr
31.10-8InverseClasses
71.9-10InverseGeneralMapping
32.2-3InverseImmutable
31.10-8InverseMap
73.5-2InverseMatMod
24.15-1InverseMutable
31.10-8InverseOp
31.10-8InverseRepresentative
43.10-10InverseSameMutability
31.10-8InverseSM
31.10-8Irr
, for a character table 71.8-2Irr
, for a group 71.8-2IrrBaumClausen
71.14-3IrrConlon
71.14-2IrrDixonSchneider
71.14-1IrreducibleDifferences
72.10-3IrreducibleModules
71.15-1IrreducibleModules
, for groups with pcgs 45.16IrreducibleRepresentations
71.14-4IrreducibleRepresentationsDixon
71.14-5IrreducibleSolvableGroup
50.11-6IrreducibleSolvableGroupMS
50.11-1Is16BitsFamily
37.6-7Is32BitsFamily
37.6-7IsAbelian
35.4-9IsAbelian
, for a character table 71.8-5IsAbelianNumberField
60.2-3IsAbelianNumberFieldPolynomialRing
66.15-6IsAbelianTom
70.8-1IsAdditiveElement
31.14-3IsAdditiveElementWithInverse
31.14-7IsAdditiveElementWithZero
31.14-5IsAdditiveGroup
55.1-6IsAdditiveGroupGeneralMapping
32.10-4IsAdditiveGroupHomomorphism
32.10-4IsAdditivelyCommutative
55.3-1IsAdditivelyCommutativeElement
31.15-2IsAdditivelyCommutativeElementCollColl
31.15-2IsAdditivelyCommutativeElementCollection
31.15-2IsAdditivelyCommutativeElementFamily
31.15-2IsAdditiveMagma
55.1-4IsAdditiveMagmaWithInverses
55.1-6IsAdditiveMagmaWithZero
55.1-5IsAlgebra
62.8-3IsAlgebraGeneralMapping
32.12-3IsAlgebraHomomorphism
32.12-3IsAlgebraicElement
67.2-1IsAlgebraicExtension
67.1-2IsAlgebraModuleElement
62.11-8IsAlgebraModuleElementCollection
62.11-8IsAlgebraModuleElementFamily
62.11-8IsAlgebraWithOne
62.8-4IsAlgebraWithOneGeneralMapping
32.12-4IsAlgebraWithOneHomomorphism
32.12-4IsAlmostSimple
, for a character table 71.8-5IsAlmostSimpleGroup
39.15-11IsAlphaChar
27.4-4IsAlternatingGroup
43.4-3IsAnticommutative
56.4-6IsAntisymmetricBinaryRelation
33.2-4IsAssociated
56.5-3IsAssociative
35.4-7IsAssociativeElement
31.15-1IsAssociativeElementCollColl
31.15-1IsAssociativeElementCollection
31.15-1IsAssocWord
37.1-1IsAssocWordWithInverse
37.1-1IsAssocWordWithOne
37.1-1IsAttributeStoringRep
80.5IsAttributeStoringRep
80.6IsAutomorphismGroup
40.7-4IsBasicWreathLessThanOrEqual
37.3-4IsBasicWreathProductOrdering
34.4-12IsBasis
61.5-1IsBasisByNiceBasis
61.11-5IsBasisOfAlgebraModuleElementSpace
62.11-14IsBergerCondition
, for a character 75.2-3IsBergerCondition
, for a group 75.2-3IsBijective
32.3-6IsBinaryRelation
33.1-1IsBinaryRelation
, same as IsEndoGeneralMapping 33.IsBLetterAssocWordRep
37.6-3IsBLetterWordsFamily
37.6-4IsBlist
22.1-1IsBlistRep
22.5-1IsBool
20.1-1IsBound
, for a global variable 4.8-1IsBound
, for a list position 21.5-1IsBound
, for a record component 29.6-1IsBound\.
29.7-3IsBound\[\]
21.2-1IsBoundElmWPObj
86.2-1IsBoundGlobal
4.9-5IsBrauerTable
71.4-1IsBravaisGroup
44.6-10IsBuiltFromAdditiveMagmaWithInverses
38.3-1IsBuiltFromGroup
38.3-1IsBuiltFromMagma
38.3-1IsBuiltFromMagmaWithInverses
38.3-1IsBuiltFromMagmaWithOne
38.3-1IsBuiltFromSemigroup
38.3-1IsCanonicalBasis
61.7-1IsCanonicalBasisFullMatrixModule
61.9-10IsCanonicalBasisFullRowModule
61.9-9IsCanonicalNiceMonomorphism
40.5-4IsCanonicalPcgs
45.8-1IsCentral
35.4-8IsCentralFactor
39.24-7IsChar
27.1-1IsCharacter
72.8-1IsCharacteristicSubgroup
39.3-7IsCharacterTable
71.4-1IsCharacterTableInProgress
71.4-1IsCharCollection
27.1-1IsCheapConwayPolynomial
59.5-2IsClassFunction
72.1-1IsClassFusionOfNormalSubgroup
71.12-4IsClosedStream
10.1-2IsCochain
64.12-1IsCochainCollection
64.12-1IsCollection
30.1-1IsCollectionFamily
30.2-2IsCommutative
35.4-9IsCommutativeElement
31.15-3IsCommutativeElementCollColl
31.15-3IsCommutativeElementCollection
31.15-3IsComponentObjectRep
80.6IsCompositionMappingRep
32.2-6IsConfluent
, for a rewriting system 38.1-5IsConfluent
, for an algebra with canonical rewriting system 38.1-5IsConfluent
, for pc groups 46.4-7IsConjugacyClassSubgroupsByStabilizerRep
39.19-2IsConjugacyClassSubgroupsRep
39.19-2IsConjugate
, for a group and two elements 39.10-9IsConjugate
, for a group and two groups 39.10-9IsConjugatorAutomorphism
40.6-4IsConjugatorIsomorphism
40.6-4IsConstantRationalFunction
66.4-11IsConstantTimeAccessGeneralMapping
32.13-2IsConstantTimeAccessList
21.1-6IsContainedInSpan
61.8-5IsCopyable
12.6-1IsCyc
18.1-3IsCyclic
39.15-1IsCyclic
, for a character table 71.8-5IsCyclicTom
70.8-1IsCyclotomic
18.1-3IsCyclotomicField
60.2-4IsCyclotomicMatrixGroup
44.6-1IsDenseList
21.1-2IsDiagonalMat
24.4-8IsDictionary
28.3-2IsDigitChar
27.4-1IsDirectory
9.3-1IsDirectoryPath
9.6-5IsDirectProductElement
32.1-1IsDisjoint
19.2-4IsDistributive
56.4-5IsDivisionRing
58.1-1IsDomain
31.9-1IsDoneIterator
30.8-4IsDoubleCoset
, operation 39.9-4IsDuplicateFree
21.17-2IsDuplicateFreeList
21.17-2IsDxLargeGroup
71.17-8IsElementaryAbelian
39.15-2IsElementaryAbelian
, for a character table 71.8-5IsElementOfFpMonoid
53.1-6IsElementOfFpSemigroup
53.1-5IsElementOfFreeMagmaRing
65.2-2IsElementOfFreeMagmaRingCollection
65.2-2IsElementOfFreeMagmaRingFamily
65.2-3IsElementOfMagmaRingModuloRelations
65.4-1IsElementOfMagmaRingModuloRelationsCollection
65.4-1IsElementOfMagmaRingModuloRelationsFamily
65.4-2IsElementOfMagmaRingModuloSpanOfZeroFamily
65.5-1IsEmpty
30.4-1IsEmptyString
27.3-3IsEndOfStream
10.3-7IsEndoGeneralMapping
32.13-3IsEndoGeneralMapping
, same as IsBinaryRelation 33.IsEqualSet
21.19-2IsEquivalenceClass
33.7-1IsEquivalenceRelation
33.2-8IsEuclideanRing
56.6-1IsEvenInt
14.2-4IsExecutableFile
9.6-4IsExistingFile
9.6-1IsExtAElement
31.14-1IsExternalOrbit
41.12-8IsExternalSet
41.12-1IsExternalSubset
41.12-6IsExtLElement
31.14-8IsExtRElement
31.14-9IsFamilyPcgs
46.1-2IsFFE
59.1-1IsFFECollColl
59.1-1IsFFECollCollColl
59.1-1IsFFECollection
59.1-1IsFFEMatrixGroup
44.2-5IsField
58.1-2IsFieldControlledByGaloisGroup
58.3IsFieldHomomorphism
32.12-5IsFinite
30.4-2IsFinite
, float 19.2-5IsFinite
, for a character table 71.8-5IsFiniteDimensional
57.3-4IsFiniteDimensional
, for matrix algebras 62.8-7IsFiniteFieldPolynomialRing
66.15-5IsFinitelyGeneratedGroup
39.15-17IsFiniteOrderElement
31.15-4IsFiniteOrderElementCollColl
31.15-4IsFiniteOrderElementCollection
31.15-4IsFiniteOrdersPcgs
45.4-2IsFixedStabilizer
43.11-9IsFLMLOR
62.8-1IsFLMLORWithOne
62.8-2IsFpGroup
47.1-2IsFpMonoid
53.1-4IsFpSemigroup
53.1-3IsFreeGroup
37.2-2IsFreeLeftModule
57.3-1IsFreeMagmaRing
65.1-3IsFreeMagmaRingWithOne
65.1-4IsFromFpGroupGeneralMappingByImages
40.10-10IsFromFpGroupHomomorphismByImages
40.10-10IsFromFpGroupStdGensGeneralMappingByImages
40.10-11IsFromFpGroupStdGensHomomorphismByImages
40.10-11IsFullHomModule
61.10-7IsFullMatrixModule
57.3-10IsFullRowModule
57.3-8IsFullSubgroupGLorSLRespectingBilinearForm
44.5-2IsFullSubgroupGLorSLRespectingQuadraticForm
44.5-6IsFullSubgroupGLorSLRespectingSesquilinearForm
44.5-4IsFullTransformationSemigroup
51.3-4IsFunction
5.4-1IsFunctionField
66.15-9IsGAPRandomSource
14.7-4IsGaussianIntegers
60.5-2IsGaussianRationals
60.1-3IsGaussianSpace
61.9-3IsGaussInt
18.1-14IsGaussRat
18.1-15IsGeneralizedDomain
31.9-1IsGeneralizedRowVector
21.12-1IsGeneralLinearGroup
44.4-1IsGeneralMapping
32.13-1IsGeneralMappingFamily
32.14-2IsGeneratorsOfStruct
31.3IsGL
44.4-1IsGlobalRandomSource
14.7-4IsGreensClass
51.7-3IsGreensDClass
51.7-3IsGreensDRelation
51.7-2IsGreensHClass
51.7-3IsGreensHRelation
51.7-2IsGreensJClass
51.7-3IsGreensJRelation
51.7-2IsGreensLClass
51.7-3IsGreensLessThanOrEqual
51.7-4IsGreensLRelation
51.7-2IsGreensRClass
51.7-3IsGreensRelation
51.7-2IsGreensRRelation
51.7-2IsGroup
39.2-7IsGroupGeneralMapping
32.9-4IsGroupGeneralMappingByAsGroupGeneralMappingByImages
40.10-3IsGroupGeneralMappingByImages
40.10-1IsGroupGeneralMappingByPcgs
40.10-7IsGroupHClass
51.7-11IsGroupHomomorphism
32.9-4IsGroupOfAutomorphisms
40.7-2IsGroupRing
65.1-5IsHandledByNiceBasis
61.11-6IsHandledByNiceMonomorphism
40.5-1IsHasseDiagram
33.2-7IsHomogeneousList
21.1-3IsIdempotent
31.10-7IsIdenticalObj
12.5-1IsIncomparableUnder
34.3-3IsInducedFromNormalSubgroup
75.3-4IsInducedPcgs
45.7-1IsInducedPcgsWrtSpecialPcgs
45.13-7IsInfBitsFamily
37.6-7IsInfiniteAbelianizationGroup
47.16-1IsInfiniteAbelianizationGroup
, for groups 47.16-1IsInfinity
18.2-1IsInjective
32.3-4IsInnerAutomorphism
40.6-4IsInputOutputStream
10.8-1IsInputStream
10.1-3IsInputTextNone
10.1-5IsInputTextStream
10.1-4IsInt
14.2-1IsIntegerMatrixGroup
44.6-3IsIntegers
14.1-2IsIntegralBasis
61.7-2IsIntegralCyclotomic
18.1-4IsIntegralRing
56.4-1IsInternallyConsistent
12.8-3IsInternallyConsistent
, for character tables 71.12-2IsInternallyConsistent
, for tables of marks 70.9-1IsIrreducibleCharacter
72.8-3IsIrreducibleRingElement
56.5-7IsIterator
30.8-3IsJacobianElement
31.15-5IsJacobianElementCollColl
31.15-5IsJacobianElementCollection
31.15-5IsJacobianRing
56.4-8IsLaurentPolynomial
66.4-10IsLaurentPolynomialDefaultRep
66.21-7IsLDistributive
56.4-3IsLeftAlgebraModuleElement
62.11-9IsLeftAlgebraModuleElementCollection
62.11-9IsLeftIdeal
56.2-3IsLeftIdealInParent
56.2-3IsLeftModule
57.1-2IsLeftModuleGeneralMapping
32.11-2IsLeftModuleHomomorphism
32.11-2IsLeftOperatorAdditiveGroup
57.1-1IsLeftSemigroupIdeal
51.4-3IsLeftVectorSpace
61.1-1IsLessThanOrEqualUnder
34.3-8IsLessThanUnder
34.3-7IsLetterAssocWordRep
37.6-1IsLetterWordsFamily
37.6-2IsLexicographicallyLess
21.20-9IsLexOrderedFFE
59.1-3IsLieAbelian
64.5-1IsLieAlgebra
62.8-5IsLieMatrix
24.2-3IsLieNilpotent
64.5-2IsLieObject
64.1-2IsLieObjectCollection
64.1-2IsLieSolvable
64.5-3IsLinearMapping
32.11-3IsLinearMappingsModule
61.10-9IsList
21.1-1IsListDefault
21.12-3IsListOrCollection
30.3-1IsLogOrderedFFE
59.1-3IsLookupDictionary
28.3-3IsLowerAlphaChar
27.4-2IsLowerTriangularMat
24.4-10IsMagma
35.1-1IsMagmaHomomorphism
32.8-1IsMagmaRingModuloRelations
65.4-4IsMagmaRingModuloSpanOfZero
65.5-2IsMagmaRingObjDefaultRep
65.2-1IsMagmaWithInverses
35.1-4IsMagmaWithInversesIfNonzero
35.1-3IsMagmaWithOne
35.1-2IsMapping
32.3-3IsMatchingSublist
21.17-1IsMatrix
24.2-1IsMatrixGroup
44.1-1IsMatrixModule
57.3-7IsMatrixSpace
61.9-2IsMersenneTwister
14.7-4IsMinimalNonmonomial
75.5-1IsModuloPcgs
45.9-2IsMonoid
52.1-1IsMonomial
, for a character table 71.8-5IsMonomial
, for positive integers 75.4-3IsMonomialGroup
39.15-9IsMonomialMatrix
24.4-7IsMonomialNumber
75.4-3IsMonomialOrdering
66.17-1IsMultiplicativeElement
31.14-10IsMultiplicativeElementWithInverse
31.14-13IsMultiplicativeElementWithOne
31.14-11IsMultiplicativeElementWithZero
31.14-12IsMultiplicativeGeneralizedRowVector
21.12-2IsMultiplicativeZero
35.4-12IsMutable
12.6-2IsMutableBasis
61.8-1IsNaN
19.2-5IsNaturalAlternatingGroup
43.4-1IsNaturalGL
44.4-2IsNaturalGLnZ
44.6-4IsNaturalSL
44.4-4IsNaturalSLnZ
44.6-5IsNaturalSymmetricGroup
43.4-1IsNearAdditiveElement
31.14-2IsNearAdditiveElementWithInverse
31.14-6IsNearAdditiveElementWithZero
31.14-4IsNearAdditiveGroup
55.1-3IsNearAdditiveMagma
55.1-1IsNearAdditiveMagmaWithInverses
55.1-3IsNearAdditiveMagmaWithZero
55.1-2IsNearlyCharacterTable
71.4-1IsNearRingElement
31.14-15IsNearRingElementWithInverse
31.14-19IsNearRingElementWithOne
31.14-17IsNegRat
17.2-3IsNilpotent
, for a character table 71.8-5IsNilpotent
, for groups with pcgs 45.16IsNilpotentElement
64.9-5IsNilpotentGroup
39.15-3IsNilpotentTom
70.8-1IsNInfinity
19.2-5IsNonassocWord
36.1-3IsNonassocWordCollection
36.1-4IsNonassocWordWithOne
36.1-3IsNonassocWordWithOneCollection
36.1-4IsNonnegativeIntegers
14.1-2IsNonSPGeneralMapping
32.14-1IsNonTrivial
30.4-4IsNormal
39.3-6IsNormalBasis
61.7-3IsNotIdenticalObj
12.5-2IsNumberField
60.2-2IsObject
12.1-1IsOddInt
14.2-5IsomorphicSubgroups
40.9-5IsomorphismFpAlgebra
62.10-10IsomorphismFpGroup
47.11-1IsomorphismFpGroup
, for subgroups of fp groups 47.12IsomorphismFpGroupByGenerators
47.11-2IsomorphismFpGroupByGeneratorsNC
47.11-2IsomorphismFpGroupByPcgs
46.3-2IsomorphismFpSemigroup
53.2-3IsomorphismGroups
40.9-1IsomorphismMatrixAlgebra
62.10-11IsomorphismPcGroup
46.5-2IsomorphismPermGroup
43.3-1IsomorphismPermGroup
, for Imf matrix groups 50.12-5IsomorphismPermGroupImfGroup
50.12-6IsomorphismReesMatrixSemigroup
51.8-11IsomorphismRefinedPcGroup
46.4-8IsomorphismRepStruct
31.5IsomorphismSCAlgebra
, for an algebra 62.10-12IsomorphismSCAlgebra
, w.r.t. a given basis 62.10-12IsomorphismSimplifiedFpGroup
47.12-1IsomorphismSpecialPcGroup
46.5-3IsomorphismTransformationSemigroup
51.3-3IsomorphismTypeInfoFiniteSimpleGroup
, for a character table 71.8-5IsomorphismTypeInfoFiniteSimpleGroup
, for a group 39.15-12IsomorphismTypeInfoFiniteSimpleGroup
, for a group order 39.15-12IsOne
31.10-5IsOperation
5.4-2IsOrdering
34.1-1IsOrderingOnFamilyOfAssocWords
34.4-1IsOrdinaryMatrix
24.2-2IsOrdinaryTable
71.4-1IsOutputStream
10.1-6IsOutputTextNone
10.1-8IsOutputTextStream
10.1-7IsPackageMarkedForLoading
76.3-7IsPadicExtensionNumber
68.2-3IsPadicExtensionNumberFamily
68.2-4IsParentPcgsFamilyPcgs
46.1-4IsPartialOrderBinaryRelation
33.2-6IsPcGroup
46.3-1IsPcGroupGeneralMappingByImages
40.10-8IsPcGroupHomomorphismByImages
40.10-8IsPcgs
45.2-2IsPcgsCentralSeries
45.11-5IsPcgsChiefSeries
45.11-13IsPcgsElementaryAbelianSeries
45.11-1IsPcgsPCentralSeriesPGroup
45.11-9IsPerfect
, for a character table 71.8-5IsPerfectGroup
39.15-5IsPerfectTom
70.8-1IsPerm
42.1-1IsPermCollColl
42.1-2IsPermCollection
42.1-2IsPermGroup
43.1-1IsPermGroupGeneralMapping
40.10-5IsPermGroupGeneralMappingByImages
40.10-5IsPermGroupHomomorphism
40.10-5IsPermGroupHomomorphismByImages
40.10-5IsPGroup
39.15-19IsPInfinity
19.2-5IsPNilpotent
39.15-24IsPolycyclicGroup
39.15-7IsPolynomial
66.4-4IsPolynomialDefaultRep
66.21-5IsPolynomialFunction
66.4-1IsPolynomialFunctionsFamily
66.19-2IsPolynomialRing
66.15-4IsPosInt
14.2-2IsPositiveIntegers
14.1-2IsPosRat
17.2-2IsPreimagesByAsGroupGeneralMappingByImages
40.10-4IsPreOrderBinaryRelation
33.2-5IsPrime
56.5-8IsPrimeField
58.2-5IsPrimeInt
14.4-2IsPrimeOrdersPcgs
45.4-3IsPrimePowerInt
14.4-4IsPrimitive
, for a group, an action domain, etc. 41.10-7IsPrimitive
, for an external set 41.10-7IsPrimitiveCharacter
75.3-2IsPrimitivePolynomial
66.4-12IsPrimitiveRootMod
15.3-4IsProbablyPrimeInt
14.4-2IsPseudoCanonicalBasisFullHomModule
61.10-8IsPSolubleCharacterTable
71.12-3IsPSolubleCharacterTableOp
71.12-3IsPSolvable
39.15-23IsPSolvableCharacterTable
71.12-3IsPSolvableCharacterTableOp
71.12-3IsPurePadicNumber
68.1-5IsPurePadicNumberFamily
68.1-6IsQuasiPrimitive
75.3-3IsQuaternion
62.8-8IsQuaternionCollColl
62.8-8IsQuaternionCollection
62.8-8IsQuickPositionList
21.23-1IsQuotientSemigroup
51.6-1IsRandomSource
14.7-1IsRange
21.22-1IsRat
17.2-1IsRationalFunction
66.4-1IsRationalFunctionDefaultRep
66.21-1IsRationalFunctionsFamily
66.19-2IsRationalMatrixGroup
44.6-2IsRationals
17.1-1IsRationalsPolynomialRing
66.15-7IsRDistributive
56.4-4IsReadableFile
9.6-2IsReadOnlyGlobal
4.9-1IsRecord
29.1-1IsRecordCollColl
29.1-1IsRecordCollection
29.1-1IsRectangularTable
21.1-5IsReduced
38.1-7IsReductionOrdering
34.4-3IsReesCongruence
51.5-2IsReesCongruenceSemigroup
51.2-6IsReesMatrixSemigroup
51.8-3IsReesMatrixSemigroupElement
51.8-6IsReesZeroMatrixSemigroup
51.8-4IsReesZeroMatrixSemigroupElement
51.8-6IsReflexiveBinaryRelation
33.2-1IsRegular
, for a group, an action domain, etc. 41.10-5IsRegular
, for an external set 41.10-5IsRegularDClass
51.7-12IsRegularSemigroup
51.2-1IsRegularSemigroupElement
51.2-2IsRelativelySM
, for a character 75.4-6IsRelativelySM
, for a group 75.4-6IsRestrictedJacobianElement
31.15-5IsRestrictedJacobianElementCollColl
31.15-5IsRestrictedJacobianElementCollection
31.15-5IsRestrictedLieAlgebra
64.8-1IsRestrictedLieObject
64.1-2IsRestrictedLieObjectCollection
64.1-2IsRewritingSystem
38.1-1IsRightAlgebraModuleElement
62.11-10IsRightAlgebraModuleElementCollection
62.11-10IsRightCoset
39.7-4IsRightIdeal
56.2-3IsRightIdealInParent
56.2-3IsRightModule
57.1-7IsRightOperatorAdditiveGroup
57.1-6IsRightSemigroupIdeal
51.4-3IsRing
56.1-1IsRingElement
31.14-16IsRingElementWithInverse
31.14-20IsRingElementWithOne
31.14-18IsRingGeneralMapping
32.12-1IsRingHomomorphism
32.12-1IsRingWithOne
56.3-1IsRingWithOneGeneralMapping
32.12-2IsRingWithOneHomomorphism
32.12-2IsRootSystem
64.6-3IsRootSystemFromLieAlgebra
64.6-4IsRowModule
57.3-6IsRowSpace
61.9-1IsRowVector
23.1-1IsScalar
31.14-20IsSemiEchelonized
61.9-7IsSemigroup
51.1-1IsSemigroupCongruence
51.5-1IsSemigroupIdeal
51.4-3IsSemiRegular
, for a group, an action domain, etc. 41.10-4IsSemiRegular
, for an external set 41.10-4IsSet
21.17-4IsShortLexLessThanOrEqual
37.3-3IsShortLexOrdering
34.4-7IsSimple
, for a character table 71.8-5IsSimpleAlgebra
62.8-6IsSimpleGroup
39.15-10IsSimpleSemigroup
51.2-3IsSingleValued
32.3-2IsSL
44.4-3IsSolvable
, for a character table 71.8-5IsSolvableGroup
39.15-6IsSolvableTom
70.8-1IsSortedList
21.17-3IsSpecialLinearGroup
44.4-3IsSpecialPcgs
45.13-1IsSPGeneralMapping
32.14-1IsSporadicSimple
, for a character table 71.8-5IsSSortedList
21.17-4IsStraightLineProgElm
37.9-1IsStraightLineProgram
37.8-1IsStream
10.1-1IsString
27.1-2IsStringRep
27.3-1IsStruct
31.6IsSubgroup
39.3-5IsSubgroupFpGroup
47.1-1IsSubgroupOfWholeGroupByQuotientRep
47.13-2IsSubgroupSL
44.4-5IsSubmonoidFpMonoid
53.1-2IsSubnormal
39.3-10IsSubnormallyMonomial
, for a character 75.4-5IsSubnormallyMonomial
, for a group 75.4-5IsSubsemigroupFpSemigroup
53.1-1IsSubset
30.5-1IsSubsetBlist
22.2-4IsSubsetLocallyFiniteGroup
39.15-18IsSubsetSet
21.19-3IsSubspacesVectorSpace
61.4-2IsSubstruct
31.8IsSupersolvable
, for a character table 71.8-5IsSupersolvable
, for groups with pcgs 45.16IsSupersolvableGroup
39.15-8IsSurjective
32.3-5IsSyllableAssocWordRep
37.6-5IsSyllableWordsFamily
37.6-6IsSymmetricBinaryRelation
33.2-2IsSymmetricGroup
43.4-2IsTable
21.1-4IsTableOfMarks
70.6-2IsTableOfMarksWithGens
70.10-3IsToPcGroupGeneralMappingByImages
40.10-9IsToPcGroupHomomorphismByImages
40.10-9IsToPermGroupGeneralMappingByImages
40.10-6IsToPermGroupHomomorphismByImages
40.10-6IsTotal
32.3-1IsTotalOrdering
34.3-2IsTransformation
54.1-1IsTransformationCollection
54.1-1IsTransformationMonoid
51.3-1IsTransformationSemigroup
51.3-1IsTransitive
, for a character 72.8-15IsTransitive
, for a group, an action domain, etc. 41.10-1IsTransitive
, for an external set 41.10-1IsTransitiveBinaryRelation
33.2-3IsTranslationInvariantOrdering
34.4-2IsTrivial
30.4-3IsTwoSidedIdeal
56.2-3IsTwoSidedIdealInParent
56.2-3IsUEALatticeElement
64.14-1IsUEALatticeElementCollection
64.14-1IsUEALatticeElementFamily
64.14-1IsUniqueFactorizationRing
56.4-2IsUnit
56.5-1IsUnivariatePolynomial
66.4-8IsUnivariatePolynomialRing
66.16-2IsUnivariateRationalFunction
66.4-6IsUnknown
74.1-3IsUpperAlphaChar
27.4-3IsUpperTriangularMat
24.4-9IsValidIdentifier
4.6-1IsVector
31.14-14IsVectorSpace
61.1-1IsVirtualCharacter
72.8-2IsWeightLexOrdering
34.4-9IsWeightRepElement
64.14-4IsWeightRepElementCollection
64.14-4IsWeightRepElementFamily
64.14-4IsWellFoundedOrdering
34.3-1IsWeylGroup
64.7-1IsWholeFamily
30.4-5IsWLetterAssocWordRep
37.6-3IsWLetterWordsFamily
37.6-4IsWord
36.1-1IsWordCollection
36.1-2IsWordWithInverse
36.1-1IsWordWithOne
36.1-1IsWreathProductOrdering
34.4-14IsWritableFile
9.6-3IsXInfinity
19.2-5IsZero
31.10-6IsZeroGroup
51.2-5IsZeroSimpleSemigroup
51.2-4IsZeroSquaredElement
31.15-6IsZeroSquaredElementCollColl
31.15-6IsZeroSquaredElementCollection
31.15-6IsZeroSquaredRing
56.4-7IsZmodnZObj
14.5-4IsZmodnZObjNonprime
14.5-4IsZmodpZObj
14.5-4IsZmodpZObjLarge
14.5-4IsZmodpZObjSmall
14.5-4Iterated
21.20-27Iterator
30.8-1IteratorByBasis
61.6-6IteratorByFunctions
30.8-8IteratorList
30.8-6IteratorOfCartesianProduct
, for a list of lists 21.20-17IteratorOfCartesianProduct
, for several lists 21.20-17IteratorOfCombinations
16.2-2IteratorOfPartitions
16.2-19IteratorOfTuples
16.2-10IteratorSorted
30.8-2Jacobi
15.4-1JenningsLieAlgebra
64.8-4JenningsSeries
39.17-14JoinEquivalenceRelations
33.6-3JoinStringsWithSeparator
27.6-17JordanDecomposition
24.13-2KappaPerp
64.9-4KB_REW
53.6-2KernelOfAdditiveGeneralMapping
32.10-5KernelOfCharacter
72.8-9KernelOfMultiplicativeGeneralMapping
32.9-5KernelOfTransformation
54.1-10KeyDependentOperation
85.1-1KillingMatrix
64.9-3KnownAttributesOfObject
13.5-1KnownPropertiesOfObject
13.7-1KnownTruePropertiesOfObject
13.7-2KnowsDictionary
28.3-5KnowsHowToDecompose
39.25-7KnuthBendixRewritingSystem
, for a monoid and a reduction ordering 53.6-3KnuthBendixRewritingSystem
, for a semigroup and a reduction ordering 53.6-3KroneckerProduct
24.5-8KuKGenerators
49.4-4Lambda
15.2-3LargerQuotientBySubgroupAbelianization
47.14-7LargestElementGroup
39.22-2LargestElementStabChain
43.10-13LargestMovedPoint
, for a list or collection of permutations 42.3-2LargestMovedPoint
, for a permutation 42.3-2LargestUnknown
74.1-2last
6.1last2
6.1last3
6.1LastSystemError
9.1-1LaTeXStringDecompositionMatrix
71.11-5LatticeByCyclicExtension
39.21-1LatticeGeneratorsInUEA
64.14-2LatticeSubgroups
39.20-1LatticeSubgroupsByTom
70.3-3LaurentPolynomialByCoefficients
66.13-1LaurentPolynomialByExtRep
66.22-3LaurentPolynomialByExtRepNC
66.22-3LClassOfHClass
51.7-5Lcm
, for (a ring and) a list of elements 56.7-6Lcm
, for (a ring and) several elements 56.7-6LcmInt
14.3-6LcmOp
56.7-7LeadCoeffsIGS
45.7-7LeadingCoefficient
66.6-3LeadingCoefficientOfPolynomial
66.17-4LeadingExponentOfPcElement
45.5-5LeadingMonomial
66.6-4LeadingMonomialOfPolynomial
66.17-2LeadingTermOfPolynomial
66.17-3LeftActingAlgebra
62.11-11LeftActingDomain
57.1-11LeftActingRingOfIdeal
56.2-10LeftAlgebraModule
62.11-4LeftAlgebraModuleByGenerators
62.11-1LeftDerivations
64.2-6LeftIdeal
56.2-1LeftIdealByGenerators
56.2-5LeftIdealNC
56.2-2LeftModuleByGenerators
57.1-10LeftModuleByHomomorphismToMatAlg
62.11-17LeftModuleGeneralMappingByImages
61.10-1LeftModuleHomomorphismByImages
61.10-2LeftModuleHomomorphismByImagesNC
61.10-2LeftModuleHomomorphismByMatrix
61.10-3LeftQuotient
31.12-2LeftQuotient
, for words 37.4LeftShiftRowVector
23.5-1Legendre
15.4-2Length
21.17-5Length
, for a associative word 37.4-1LengthsTom
70.7-3LengthWPObj
86.2-1LenstraBase
60.3-2LessThanFunction
34.3-5LessThanOrEqualFunction
34.3-6LetterRepAssocWord
37.6-8LevelsOfGenerators
34.4-15LeviMalcevDecomposition
, for Lie algebras 62.9-19LexicographicOrdering
34.4-5LGFirst
45.13-5LGLayers
45.13-4LGLength
45.13-6LGWeights
45.13-3LieAlgebra
, for an associative algebra 64.2-3LieAlgebra
, for field and generators 64.2-3LieAlgebraByStructureConstants
64.2-1LieBracket
31.12-4LieCenter
64.3-1LieCentralizer
64.3-2LieCentre
64.3-1LieCoboundaryOperator
64.12-5LieDerivedSeries
64.4-1LieDerivedSubalgebra
64.3-4LieFamily
64.1-3LieLowerCentralSeries
64.4-2LieNilRadical
64.3-5LieNormalizer
64.3-3LieObject
64.1-1LieSolvableRadical
64.3-6LieUpperCentralSeries
64.4-3LiftedInducedPcgs
45.10-4LiftedPcElement
45.10-3LinearAction
45.14-2LinearActionLayer
45.14-3LinearCharacters
, for a character table 71.8-3LinearCharacters
, for a group 71.8-3LinearCombination
61.6-4LinearCombinationPcgs
45.5-7LinearIndependentColumns
25.4-2LinearOperation
45.14-2LinearOperationLayer
45.14-3LinesOfStraightLineProgram
37.8-3List
, for a collection 30.3-5List
, for a list (and a function) 21.20-19ListBlist
22.2-2ListN
21.20-28ListOfDigits
14.2-11ListPerm
42.5-1ListStabChain
43.10-8ListWithIdenticalEntries
21.15-1ListX
21.21-1LLL
72.10-4LLLReducedBasis
25.5-1LLLReducedGramMat
25.5-2LoadDynamicModule
76.3-10LoadPackage
76.2-1local
4.23Log
19.2-1Log10
19.2-1Log1p
19.2-1Log2
19.2-1LogFFE
59.2-2LogInt
14.2-8LogMod
15.3-2LogModShanks
15.3-2LogPackageLoadingMessage
76.2-4LogTo
, for a filename 9.7-4LogTo
, for streams 10.4-5LogTo
, stop logging 9.7-4LongestWeylWordPerm
64.7-5LookupDictionary
28.3-6LowercaseString
27.6-11LowerCentralSeriesOfGroup
39.17-11LowIndexSubgroupsFpGroup
47.10-1LowIndexSubgroupsFpGroupIterator
47.10-1Lucas
16.3-2Magma
35.2-1MagmaByGenerators
35.2-4MagmaByMultiplicationTable
35.3-1MagmaElement
35.3-4MagmaHomomorphismByFunctionNC
32.8-2MagmaRingModuloSpanOfZero
65.5-3MagmaWithInverses
35.2-3MagmaWithInversesByGenerators
35.2-6MagmaWithInversesByMultiplicationTable
35.3-3MagmaWithOne
35.2-2MagmaWithOneByGenerators
35.2-5MagmaWithOneByMultiplicationTable
35.3-2MakeConfluent
38.1-11MakeFloat
19.2-7MakeImmutable
12.6-4MakeReadOnlyGlobal
4.9-2MakeReadWriteGlobal
4.9-3MappedWord
36.3-1MappingByFunction
, by function (and inverse function) between two domains 32.2-2MappingByFunction
, by function and function that computes one preimage 32.2-2MappingGeneratorsImages
40.10-2MappingPermListList
42.5-3MarksTom
70.7-1MatAlgebra
62.5-4MatClassMultCoeffsCharTable
71.12-9MathieuGroup
50.1-10MatLieAlgebra
64.2-5MatrixAlgebra
62.5-4MatrixAutomorphisms
71.22-1MatrixByBlockMatrix
24.17-3MatrixLieAlgebra
64.2-5MatrixOfAction
62.11-15MatScalarProducts
72.8-6MatTom
70.7-10MaximalAbelianQuotient
39.18-4MaximalBlocks
, for a group, an action domain, etc. 41.11-2MaximalBlocks
, for an external set 41.11-2MaximalNormalSubgroups
39.19-9MaximalSubgroupClassReps
39.19-6MaximalSubgroups
39.19-7MaximalSubgroups
, for groups with pcgs 45.16MaximalSubgroupsLattice
39.20-4MaximalSubgroupsTom
70.9-12Maximum
, for a list 21.20-13Maximum
, for various objects 21.20-13MaximumList
21.20-15MeetEquivalenceRelations
33.6-3MeetMaps
73.5-8MemoryUsage
12.8-4Mid
19.2-4MinimalElementCosetStabChain
43.10-12MinimalGeneratingSet
39.22-3MinimalGeneratingSet
, for groups with pcgs 45.16MinimalNonmonomialGroup
75.5-2MinimalNormalSubgroups
39.19-10MinimalPolynomial
66.8-1MinimalPolynomial
, over a field 58.3-2MinimalPolynomial
, over a ring 66.8MinimalStabChain
43.8-5MinimalSupergroupsLattice
39.20-5MinimalSupergroupsTom
70.9-13MinimizedBombieriNorm
66.12-2Minimum
, for a list 21.20-14Minimum
, for various objects 21.20-14MinimumList
21.20-15MinusCharacter
73.6-5mod
4.13mod
, arithmetic operators 4.13mod
, for character tables 71.7mod
, residue class rings 14.5ModuleByRestriction
62.11-21ModuleOfExtension
46.8-7ModuloPcgs
45.9-1MoebiusMu
15.5-3MoebiusTom
70.7-11MolienSeries
72.12-1MolienSeriesInfo
72.12-2MolienSeriesWithGivenDenominator
72.12-4Monoid
, for a list 52.1-2Monoid
, for various generators 52.1-2MonoidByGenerators
52.1-4MonoidByMultiplicationTable
52.1-10MonoidOfRewritingSystem
53.6-5MonomialComparisonFunction
66.17-5MonomialExtGrlexLess
66.17-14MonomialExtrepComparisonFun
66.17-6MonomialGrevlexOrdering
66.17-9MonomialGrlexOrdering
66.17-8MonomialLexOrdering
66.17-7MonomialTotalDegreeLess
77.4MorClassLoop
40.9-6MostFrequentGeneratorFpGroup
47.6-8MovedPoints
, for a list or collection of permutations 42.3-3MovedPoints
, for a permutation 42.3-3MTX
69.3-1MTX.BasesCompositionSeries
69.7-9MTX.BasesMaximalSubmodules
69.7-5MTX.BasesMinimalSubmodules
69.7-4MTX.BasesMinimalSupermodules
69.7-8MTX.BasesSubmodules
69.7-3MTX.BasisInOrbit
69.11-4MTX.BasisModuleEndomorphisms
69.9-2MTX.BasisModuleHomomorphisms
69.9-1MTX.BasisRadical
69.7-6MTX.BasisSocle
69.7-7MTX.CollectedFactors
69.7-11MTX.CompositionFactors
69.7-10MTX.DegreeSplittingField
69.5-3MTX.Dimension
69.4-2MTX.Distinguish
69.10-5MTX.Field
69.4-3MTX.Generators
69.4-1MTX.HomogeneousComponents
69.6-3MTX.Homomorphism
69.10-3MTX.Homomorphisms
69.10-4MTX.Indecomposition
69.6-2MTX.InducedAction
69.8-5MTX.InducedActionFactorMatrix
69.8-4MTX.InducedActionFactorModule
69.8-3MTX.InducedActionMatrix
69.8-4MTX.InducedActionMatrixNB
69.8-4MTX.InducedActionSubmodule
69.8-2MTX.InducedActionSubmoduleNB
69.8-2MTX.InvariantBilinearForm
69.11-1MTX.InvariantQuadraticForm
69.11-3MTX.InvariantSesquilinearForm
69.11-2MTX.IsAbsolutelyIrreducible
69.5-2MTX.IsEquivalent
69.10-1MTX.IsIndecomposable
69.6-1MTX.IsIrreducible
69.5-1MTX.IsomorphismIrred
69.10-2MTX.IsomorphismModules
69.9-3MTX.ModuleAutomorphisms
69.9-4MTX.NormedBasisAndBaseChange
69.8-1MTX.OrthogonalSign
69.11-5MTX.ProperSubmoduleBasis
69.7-2MTX.SubGModule
69.7-1MTX.SubmoduleGModule
69.7-1MultiplicationTable
, for a list of elements 35.3-5MultiplicationTable
, for a magma 35.3-5MultiplicativeNeutralElement
35.4-10MultiplicativeZero
35.4-11MultiplicativeZeroOp
31.10-4MultRowVector
23.4-3MutableBasis
61.8-2MutableBasisOfClosureUnderAction
62.9-11MutableBasisOfIdealInNonassociativeAlgebra
62.9-13MutableBasisOfNonassociativeAlgebra
62.9-12MutableIdentityMat
77.4MutableNullMat
77.4Name
12.8-2NameFunction
5.1-1NameRNam
29.7-1NamesFilter
13.2-2NamesGVars
4.9-8NamesLocalVariablesFunction
5.1-3NamesOfComponents
79.9-1NamesOfFusionSources
73.3-5NamesSystemGVars
4.9-9NamesUserGVars
4.9-10NaturalCharacter
, for a group 72.7-2NaturalCharacter
, for a homomorphism 72.7-2NaturalHomomorphismByGenerators
32.8-3NaturalHomomorphismByIdeal
56.8-4NaturalHomomorphismByIdeal
, for an algebra and an ideal 62.10-7NaturalHomomorphismByNormalSubgroup
39.18-1NaturalHomomorphismByNormalSubgroupNC
39.18-1NaturalHomomorphismBySubAlgebraModule
62.11-22NaturalHomomorphismBySubspace
61.10-4NaturalHomomorphismOfLieAlgebraFromNilpotentGroup
64.8-6NearAdditiveGroup
55.2-3NearAdditiveGroupByGenerators
55.2-6NearAdditiveMagma
55.2-1NearAdditiveMagmaByGenerators
55.2-4NearAdditiveMagmaWithZero
55.2-2NearAdditiveMagmaWithZeroByGenerators
55.2-5NearlyCharacterTablesFamily
71.4-3NegativeRoots
64.6-8NegativeRootVectors
64.6-10NestingDepthA
21.12-4NestingDepthM
21.12-5NewAttribute
79.3-1NewAttribute
, example 80.5NewCategory
79.1-1NewDictionary
28.2-1NewFamily
79.6-1NewFilter
79.4-1NewFloat
19.2-7NewInfoClass
7.4-1NewmanInfinityCriterion
47.16-2NewOperation
79.5-1NewProperty
79.3-2NewRepresentation
79.2-1NewRepresentation
, example 80.6NewType
79.7-1NextIterator
30.8-5NextPrimeInt
14.4-5NF
60.1-2NiceAlgebraMonomorphism
62.10-9NiceBasis
61.11-4NiceBasisFiltersInfo
61.12-2NiceFreeLeftModule
61.11-1NiceFreeLeftModuleInfo
61.11-3NiceMonomorphism
40.5-2NiceMonomorphismAutomGroup
40.8-2NiceObject
40.5-3NiceVector
61.11-2NilpotencyClassOfGroup
39.15-4NilpotentQuotientOfFpLieAlgebra
64.11-2NK
18.4-5NOAUTO
76.2-1NonabelianExteriorSquare
39.24-5NonnegativeIntegers
14.1-1NonnegIntScalarProducts
73.5-15NonNilpotentElement
64.9-6Norm
58.3-4Norm
, for a class function 72.8-7Norm
, of character 72.8-7NormalBase
58.3-7NormalClosure
39.11-4NormalFormIntMat
25.2-9NormalIntersection
39.11-5NormalizedElementOfMagmaRingModuloRelations
65.4-3NormalizedWhitespace
27.6-15Normalizer
, for a group and a group element 39.11-1Normalizer
, for two groups 39.11-1NormalizerInGLnZ
44.6-7NormalizerInGLnZBravaisGroup
44.6-14NormalizersTom
70.9-4NormalizerTom
70.9-4NormalizeWhitespace
27.6-14NormalSeriesByPcgs
45.11-18NormalSubgroupClasses
71.23-3NormalSubgroupClassesInfo
71.23-1NormalSubgroups
39.19-8NormedRowVector
23.2-1NormedRowVectors
61.9-11NormedVectors
77.4not
20.4-3NrArrangements
16.2-5NrBasisVectors
61.8-3NrCombinations
16.2-3NrConjugacyClasses
39.10-5NrConjugacyClasses
, for a character table 71.8-5NrConjugacyClassesGL
50.3-1NrConjugacyClassesGU
50.3-1NrConjugacyClassesPGL
50.3-1NrConjugacyClassesPGU
50.3-1NrConjugacyClassesPSL
50.3-1NrConjugacyClassesPSU
50.3-1NrConjugacyClassesSL
50.3-1NrConjugacyClassesSLIsogeneous
50.3-1NrConjugacyClassesSU
50.3-1NrConjugacyClassesSUIsogeneous
50.3-1NrDerangements
16.2-15NrInputsOfStraightLineProgram
37.8-4NrMovedPoints
, for a list or collection of permutations 42.3-4NrMovedPoints
, for a permutation 42.3-4NrOrderedPartitions
16.2-22NrPartitions
16.2-20NrPartitionsSet
16.2-17NrPartitionTuples
16.2-31NrPermutationsList
16.2-13NrPolyhedralSubgroups
71.12-6NrPrimitiveGroups
50.9-2NrRestrictedPartitions
16.2-26NrSubsTom
70.7-2NrTransitiveGroups
50.6-2NrTuples
16.2-11NrUnorderedTuples
16.2-7NthRootsInGroup
39.10-10NullAlgebra
62.5-5NullMat
24.5-2NullspaceIntMat
25.1-1NullspaceMat
24.7-4NullspaceMatDestructive
24.7-5NullspaceModQ
24.15-2Number
21.20-21NumberArgumentsFunction
5.1-2NumberFFVector
23.3-2NumberIrreducibleSolvableGroups
50.11-2NumberPerfectGroups
50.8-4NumberPerfectLibraryGroups
50.8-5NumberSmallGroups
50.7-4NumbersString
27.6-19NumberSyllables
37.5-1NumeratorOfModuloPcgs
45.9-3NumeratorOfRationalFunction
66.4-2NumeratorRat
17.2-4ObjByExtRep
79.15-1ObjByExtRep
, for creating a UEALattice element 64.14-3Objectify
79.8-1ObjectifyWithAttributes
79.8-2OCOneCocycles
39.23-3OctaveAlgebra
62.5-3od
4.20OldGeneratorsOfPresentation
48.9-2Omega
39.14-1Omega
, construct an orthogonal group 50.2-8ONanScottType
43.5-1OnBreak
6.4-3OnBreakMessage
6.4-4One
31.10-2OneAttr
31.10-2OneCoboundaries
39.23-2OneCocycles
, for a group and a pcgs 39.23-1OneCocycles
, for generators and a group 39.23-1OneCocycles
, for generators and a pcgs 39.23-1OneCocycles
, for two groups 39.23-1OneFactorBound
66.12-4OneImmutable
31.10-2OneIrreducibleSolvableGroup
50.11-4OneLibraryGroup
50.5OneMutable
31.10-2OneOfPcgs
45.4-6OneOp
31.10-2OnePrimitiveGroup
50.5OneSameMutability
31.10-2OneSM
31.10-2OneSmallGroup
50.7-3OneTransitiveGroup
50.5OnIndeterminates
, as a permutation action 41.2-13OnLeftInverse
41.2-3OnLines
41.2-12OnLines
, example 50.2-1OnPairs
41.2-6OnPoints
41.2-1OnQuit
8.1-4OnRight
41.2-2OnSets
41.2-4OnSetsDisjointSets
41.2-8OnSetsSets
41.2-7OnSetsTuples
41.2-9OnSubspacesByCanonicalBasis
41.2-15OnSubspacesByCanonicalBasisConcatenations
41.2-15OnTuples
41.2-5OnTuplesSets
41.2-10OnTuplesTuples
41.2-11PCore
, see PCore 39.11-3Operation
77.1OperationAlgebraHomomorphism
, action on a free left module 62.10-8OperationAlgebraHomomorphism
, action w.r.t. a basis of the module 62.10-8OperationHomomorphism
77.1or
20.4-1Orbit
41.4-1OrbitFusions
73.4-1OrbitishFO
85.3-2OrbitLength
41.4-4OrbitLengths
, for a group, a set of seeds, etc. 41.4-5OrbitLengths
, for an external set 41.4-5OrbitLengthsDomain
, for a group and a set of seeds 41.4-6OrbitLengthsDomain
, of an external set 41.4-6OrbitPerms
43.2-1OrbitPowerMaps
73.2-1Orbits
, attribute 41.4-2Orbits
, operation 41.4-2OrbitsDomain
, for a group and an action domain 41.4-3OrbitsDomain
, of an external set 41.4-3OrbitsishOperation
85.3-1OrbitsPerms
43.2-2OrbitStabChain
43.10-6OrbitStabilizer
41.5-1OrbitStabilizerAlgorithm
41.5-3Order
31.10-10Order
, for a class function 72.4-3OrderedPartitions
16.2-21OrderingByLessThanFunctionNC
34.2-1OrderingByLessThanOrEqualFunctionNC
34.2-2OrderingOfRewritingSystem
38.1-3OrderingOnGenerators
34.4-4OrderingsFamily
34.1-2OrderMod
15.3-1OrderOfRewritingSystem
38.1-3OrdersClassRepresentatives
71.9-1OrdersTom
70.7-2Ordinal
27.8-2OrdinaryCharacterTable
, for a character table 71.8-4OrdinaryCharacterTable
, for a group 71.8-4OrthogonalComponents
72.11-4OrthogonalEmbeddings
25.6-1OrthogonalEmbeddingsSpecialDimension
72.10-6OutputLogTo
, for a filename 9.7-6OutputLogTo
, for streams 10.4-7OutputLogTo
, stop logging output 9.7-6OutputTextFile
10.5-2OutputTextNone
10.9-2OutputTextString
10.7-2OutputTextUser
10.6-2Overlaps
19.2-4PACKAGE_DEBUG
76.2-4PACKAGE_ERROR
76.2-4PACKAGE_INFO
76.2-4PACKAGE_WARNING
76.2-4PackageVariablesInfo
76.3-13PadicCoefficients
25.4-3PadicExtensionNumberFamily
68.2-1PadicNumber
, for a p-adic extension family and a list 68.2-2PadicNumber
, for a p-adic extension family and a rational 68.2-2PadicNumber
, for a pure p-adic numbers family and a list 68.2-2PadicNumber
, for pure padics 68.1-2PadicValuation
56.5-10Pager
2.4-1PageSource
5.1-6Parametrized
73.5-5Parent
31.7-1ParentPcgs
45.7-3ParseRelators
47.2-3PartialFactorization
14.4-9PartialOrderByOrderingFunction
33.4-6PartialOrderOfHasseDiagram
33.2-11Partitions
16.2-18PartitionsGreatestEQ
16.2-24PartitionsGreatestLE
16.2-23PartitionsSet
16.2-16PartitionTuples
16.2-30PcElementByExponents
45.5-6PcElementByExponentsNC
45.5-6PCentralLieAlgebra
64.8-5PCentralNormalSeriesByPcgsPGroup
45.11-12PCentralSeries
39.17-13PcGroupCode
46.9-3PcGroupFpGroup
46.4-1PcGroupWithPcgs
46.5-1Pcgs
45.2-1Pcgs_OrbitStabilizer
45.15-2PcgsByPcSequence
45.3-1PcgsByPcSequenceNC
45.3-1PcgsCentralSeries
45.11-6PcgsChiefSeries
45.11-14PcgsElementaryAbelianSeries
, for a group 45.11-2PcgsElementaryAbelianSeries
, for a list of normal subgroups 45.11-2PcgsPCentralSeriesPGroup
45.11-10PClassPGroup
39.15-21PCore
39.11-3PcSeries
45.4-4PerfectGroup
, for a pair [ order, index ] 50.8-2PerfectGroup
, for group order (and index) 50.8-2PerfectIdentification
50.8-3PerfectResiduum
39.12-8Perform
21.20-11Permanent
16.4-1PermBounds
72.14-3PermCharInfo
72.13-1PermCharInfoRelative
72.13-2PermChars
72.14-1PermCharsTom
, from a character table 70.11-2PermCharsTom
, via fusion map 70.11-2PermComb
72.14-4PermLeftQuoTransformation
54.1-14PermList
42.5-2PermListList
21.20-12Permutation
, for a group, an action domain, etc. 41.9-1Permutation
, for an external set 41.9-1PermutationCharacter
, for a group, an action domain, and a function 72.7-3PermutationCharacter
, for two groups 72.7-3PermutationCycle
41.9-2PermutationGModule
69.2-1PermutationMat
24.5-5PermutationsFamily
42.1-3PermutationsList
16.2-12PermutationTom
70.5-2Permuted
21.20-18Permuted
, as a permutation action 41.2-14Permuted
, for a class function 72.4-2PGL
50.2-11PGU
50.2-13Phi
15.2-2PolynomialByExtRep
66.22-2PolynomialByExtRepNC
66.22-2PolynomialCoefficientsOfPolynomial
66.6-2PolynomialDivisionAlgorithm
66.17-13PolynomialModP
66.11-2PolynomialReducedRemainder
66.17-12PolynomialReduction
66.17-11PolynomialRing
, for a ring and a list of indeterminate numbers 66.15-1PolynomialRing
, for a ring and a list of indeterminates 66.15-1PolynomialRing
, for a ring and a list of names (and an exclusion list) 66.15-1PolynomialRing
, for a ring and a rank (and an exclusion list) 66.15-1POmega
50.2-16PopOptions
8.1-2Position
21.16-1PositionBound
21.16-9PositionCanonical
21.16-3PositionFirstComponent
21.16-13PositionNonZero
21.16-11PositionNot
21.16-10PositionNthOccurrence
21.16-4PositionProperty
21.16-7Positions
21.16-2PositionSet
21.16-6PositionsOp
21.16-2PositionSorted
21.16-5PositionSortedOp
21.16-5PositionsProperty
21.16-8PositionStream
10.3-8PositionSublist
21.16-12PositionWord
37.4-4PositiveIntegers
14.1-1PositiveRoots
64.6-7PositiveRootVectors
64.6-9PossibleClassFusions
73.3-6PossibleFusionsCharTableTom
70.11-1PossiblePowerMaps
73.1-2PowerMap
73.1-1PowerMapByComposition
73.1-4PowerMapOp
73.1-1PowerMapsAllowedBySymmetrizations
73.6-6PowerMod
56.7-9PowerModCoeffs
23.7-5PowerModInt
14.3-10PowerPartition
16.2-29PowerSubalgebraSeries
62.9-4PQuotient
47.14-1PrecisionFloat
19.2-3PrefrattiniSubgroup
39.12-7PrefrattiniSubgroup
, for groups with pcgs 45.16PreImage
, set of preimages of a collection under a general mapping 32.5-6PreImage
, set of preimages of the range of a general mapping 32.5-6PreImage
, unique preimage of an element under a general mapping 32.5-6PreImageElm
32.5-3PreImages
, set of preimages of a collection under a general mapping 32.5-7PreImages
, set of preimages of an elm under a general mapping 32.5-7PreImages
, set of preimages of the range of a general mapping 32.5-7PreImagesElm
32.5-2PreimagesOfTransformation
54.1-11PreImagesRange
32.5-1PreImagesRepresentative
32.5-4PreImagesSet
32.5-5PresentationFpGroup
48.1-1PresentationNormalClosure
48.2-6PresentationNormalClosureRrs
48.2-5PresentationSubgroup
48.2-1PresentationSubgroupMtc
48.2-4PresentationSubgroupRrs
, for a group and a coset table (and a string) 48.2-2PresentationSubgroupRrs
, for two groups (and a string) 48.2-2PresentationViaCosetTable
48.1-5PrevPrimeInt
14.4-6PrimalityProof
14.4-3PrimaryGeneratorWords
48.2-3PrimeBlocks
71.11-1PrimeBlocksOp
71.11-1PrimeDivisors
14.4-8PrimeField
58.2-4PrimePGroup
39.15-20PrimePowersInt
14.4-11PrimeResidues
15.2-1Primes
14.4-1PRIMITIVE_INDICES_MAGMA
50.10-3PrimitiveElement
58.2-3PrimitiveGroup
50.9-1PrimitiveGroupsIterator
50.9-3PrimitiveIdentification
50.10-1PrimitiveIndexIrreducibleSolvableGroup
50.11-5PrimitivePolynomial
66.11-1PrimitiveRoot
59.3-3PrimitiveRootMod
15.3-3Print
6.3-4PrintAmbiguity
73.5-14PrintArray
24.5-10PrintCharacterTable
71.13-5PrintCSV
10.11-2PrintFactorsInt
14.4-10PrintFormattingStatus
10.4-8PrintObj
6.3-5PrintObj
, for a character table 71.13-2PrintObj
, for a ffe 59.6-1PrintObj
, for a string 27.1-4PrintObj
, for a table of marks 70.4-2PrintObj
, for class functions 72.5-2PrintString
27.6-5PrintTo
9.7-3PrintTo
, for streams 10.4-4ProbabilityShapes
66.11-4Process
11.1-1PROD_GF2MAT_GF2MAT_ADVANCED
24.16-2PROD_GF2MAT_GF2MAT_SIMPLE
24.16-1Product
21.20-25ProductCoeffs
23.7-2ProductOfStraightLinePrograms
37.8-13ProductSpace
62.9-3ProductX
21.21-4ProfileFunctions
7.7-4ProfileGlobalFunctions
7.7-1ProfileMethods
7.7-6ProfileOperations
7.7-2ProfileOperationsAndMethods
7.7-3ProjectedInducedPcgs
45.10-2ProjectedPcElement
45.10-1Projection
, example for direct products 49.1-1Projection
, example for semidirect products 49.2-1Projection
, example for subdirect products 49.3-1Projection
, example for wreath products 49.4-1Projection
, for a domain 32.2-11Projection
, for a domain and a positive integer 32.2-11Projection
, for group products 49.6-2Projection
, for two domains 32.2-11ProjectionMap
73.5-3ProjectiveActionHomomorphismMatrixGroup
44.3-2ProjectiveActionOnFullSpace
44.3-1ProjectiveGeneralLinearGroup
50.2-11ProjectiveGeneralUnitaryGroup
50.2-13ProjectiveOmega
50.2-16ProjectiveOrder
24.14-3ProjectiveSpecialLinearGroup
50.2-12ProjectiveSpecialUnitaryGroup
50.2-14ProjectiveSymplecticGroup
50.2-15PRump
39.12-12PseudoRandom
30.7-2PseudoRandom
, for finitely presented groups 47.5-1PSL
50.2-12PSP
50.2-15PSp
50.2-15PSU
50.2-14PthPowerImage
, for basis and element 64.8-3PthPowerImage
, for element 64.8-3PthPowerImage
, for element and integer 64.8-3PthPowerImages
64.8-2PurePadicNumberFamily
68.1-1PushOptions
8.1-1Quadratic
18.5-4QuaternionAlgebra
62.5-1QuaternionGroup
50.1-6QUIET
77.4QUIT
6.7-1QUIT
, emergency quit 6.7-1QUITTING
6.7-2QuoInt
14.3-1Quotient
56.1-9QuotientFromSCTable
62.4-8QuotientMod
56.7-8QuotientPolynomialsExtRep
66.23-3QuotientRemainder
56.6-5QuotientSemigroupCongruence
51.6-3QuotientSemigroupHomomorphism
51.6-3QuotientSemigroupPreimage
51.6-3QuotRemLaurpols
66.5-6RadicalGroup
39.12-9RadicalOfAlgebra
62.9-16Random
, for a list 14.7-2Random
, for a list or collection 30.7-1Random
, for a range of integers 14.7-2Random
, for integers 14.2-12Random
, for lower and upper bound 30.7-1Random
, for rationals 17.2-7RandomBinaryRelationOnPoints
33.3-2RandomInvertibleMat
24.6-2RandomIsomorphismTest
46.10-1RandomList
30.7-3RandomMat
24.6-1RandomPrimitivePolynomial
59.5-3RandomSource
14.7-5RandomTransformation
54.1-5RandomUnimodularMat
24.6-3Range
, of a general mapping 32.3-7RankAction
, for a group, an action domain, etc. 41.10-3RankAction
, for an external set 41.10-3RankFilter
13.2-1RankMat
24.7-1RankOfTransformation
54.1-9RankPGroup
39.15-22Rat
17.2-6Rat
, for floats 19.2-8Rat
, for strings 27.8-1RationalClass
39.10-6RationalClasses
39.10-7RationalFunctionByExtRep
66.22-1RationalFunctionByExtRepNC
66.22-1RationalFunctionByExtRepWithCancellation
66.24-1RationalFunctionsFamily
66.19-1RationalizedMat
18.5-6Rationals
17.1-1RClassOfHClass
51.7-5Read
9.7-1Read
, for streams 10.3-1ReadAll
10.3-6ReadAllLine
10.8-3ReadAsFunction
9.7-2ReadAsFunction
, for streams 10.3-2ReadByte
10.3-4ReadCommandLineHistory
6.9-3ReadCSV
10.11-1ReadLine
10.3-5ReadPackage
76.3-1ReadPkg
77.2ReadTest
7.9-1ReadTest
, for streams 10.3-3RealClasses
71.9-11RealizableBrauerCharacters
72.15-4RealPart
18.5-2RecNames
29.1-2RedispatchOnCondition
78.5-1ReduceCoeffs
23.7-3ReduceCoeffsMod
23.7-4ReducedAdditiveInverse
38.2-1ReducedCharacters
72.10-2ReducedClassFunctions
72.10-1ReducedComm
38.2-1ReducedConfluentRewritingSystem
53.6-1ReducedConjugate
38.2-1ReducedDifference
38.2-1ReducedForm
38.1-4ReducedGroebnerBasis
, for a list and a monomial ordering 66.18-2ReducedGroebnerBasis
, for an ideal and a monomial ordering 66.18-2ReducedInverse
38.2-1ReducedLeftQuotient
38.2-1ReducedOne
38.2-1ReducedPcElement
45.5-10ReducedPower
38.2-1ReducedProduct
38.2-1ReducedQuotient
38.2-1ReducedScalarProduct
38.2-1ReducedSum
38.2-1ReducedZero
38.2-1ReduceRules
38.1-8ReduceStabChain
43.11-5Ree
50.1-12ReeGroup
50.1-12ReesCongruenceOfSemigroupIdeal
51.4-2ReesMatrixSemigroup
51.8-1ReesMatrixSemigroupElement
51.8-5ReesZeroMatrixSemigroup
51.8-2ReesZeroMatrixSemigroupElement
51.8-5ReesZeroMatrixSemigroupElementIsZero
51.8-9RefinedPcGroup
46.4-9ReflectionMat
24.5-9ReflexiveClosureBinaryRelation
33.4-1RegularActionHomomorphism
41.8-2RegularModule
71.15-3RelationsOfFpSemigroup
53.4-5RelativeBasis
61.5-4RelativeBasisNC
61.5-4RelativeDiameter
19.2-4RelativeOrderOfPcElement
45.5-1RelativeOrders
45.4-1RelativeOrders
, of a pcgs 45.4-1RelatorsOfFpGroup
47.4-3RemInt
14.3-3Remove
21.4-3RemoveCharacters
27.6-16RemoveFile
9.7-8RemoveOuterCoeffs
23.5-4RemoveRelator
48.5-4RemoveSet
21.19-5RemoveStabChain
43.11-6repeat
loop 4.19ReplacedString
27.6-13RepresentationsOfObject
13.4-1Representative
30.4-7RepresentativeAction
41.6-1RepresentativeLinearOperation
62.10-13RepresentativeOperation
77.1RepresentativesContainedRightCosets
39.9-2RepresentativesFusions
73.4-2RepresentativeSmallest
30.4-8RepresentativesMinimalBlocks
, for a group, an action domain, etc. 41.11-3RepresentativesMinimalBlocks
, for an external set 41.11-3RepresentativesPerfectSubgroups
39.20-6RepresentativesPowerMaps
73.2-2RepresentativesSimpleSubgroups
39.20-6RepresentativeTom
70.10-4RepresentativeTomByGenerators
70.10-4RepresentativeTomByGeneratorsNC
70.10-4RequirePackage
77.2Reread
9.7-9REREADING
9.7-9RereadPackage
76.3-1RereadPkg
77.2Reset
14.7-3ResetFilterObj
79.4-3ResetOptionsStack
8.1-3RespectsAddition
32.10-1RespectsAdditiveInverses
32.10-2RespectsInverses
32.9-3RespectsMultiplication
32.9-1RespectsOne
32.9-2RespectsScalarMultiplication
32.11-1RespectsZero
32.10-3RestrictedClassFunction
72.9-1RestrictedClassFunctions
72.9-2RestrictedLieAlgebraByStructureConstants
64.2-2RestrictedMapping
32.2-12RestrictedPartitions
16.2-25RestrictedPerm
42.5-4RestrictedPermNC
42.5-4RestrictedTransformation
54.1-12RestrictOutputsOfSLP
37.8-9Resultant
66.6-7ResultOfStraightLineProgram
37.8-5return
6.4-2return
, no value 4.24return
, with value 4.24ReturnFail
5.3-3ReturnFalse
5.3-2ReturnTrue
5.3-1Reversed
21.20-7RewindStream
10.3-9RewriteWord
47.9-4RightActingAlgebra
62.11-12RightActingRingOfIdeal
56.2-10RightAlgebraModule
62.11-5RightAlgebraModuleByGenerators
62.11-2RightCoset
39.7-1RightCosets
39.7-2RightCosetsNC
39.7-2RightDerivations
64.2-6RightIdeal
56.2-1RightIdealByGenerators
56.2-6RightIdealNC
56.2-2RightModuleByHomomorphismToMatAlg
62.11-18RightShiftRowVector
23.5-2RightTransversal
39.8-1Ring
, for a collection 56.1-2Ring
, for ring elements 56.1-2RingByGenerators
56.1-4RingGeneralMappingByImages
56.8-1RingHomomorphismByImages
56.8-2RingHomomorphismByImagesNC
56.8-3RingWithOne
, for a collection 56.3-2RingWithOne
, for ring elements 56.3-2RingWithOneByGenerators
56.3-3RNamObj
, for a positive integer 29.7-2RNamObj
, for a string 29.7-2RootInt
14.2-9RootMod
15.4-3RootOfDefiningPolynomial
58.2-8RootsMod
15.4-4RootsOfPolynomial
66.5-4RootsOfUPol
66.5-5RootsUnityMod
15.4-5RootSystem
64.6-5Round
19.2-1RoundCyc
18.1-9RowIndexOfReesMatrixSemigroupElement
51.8-8RowIndexOfReesZeroMatrixSemigroupElement
51.8-8RREF
24.7-2Rules
38.1-2Runtime
7.6-2Runtimes
7.6-1SameBlock
71.11-2SandwichMatrixOfReesMatrixSemigroup
51.8-7SandwichMatrixOfReesZeroMatrixSemigroup
51.8-7SaveCommandLineHistory
6.9-3SaveOnExitFile
6.7-3SaveWorkspace
3.3-1ScalarProduct
, for characters 72.8-5SchurCover
39.24-2SchurCoverOfSymmetricGroup
39.24-10Sec
19.2-1Sech
19.2-1SecHMSM
27.9-8SecondsDMYhms
27.9-10SeekPositionStream
10.3-10SemidirectProduct
, for a group of automorphisms and a group 49.2-1SemidirectProduct
, for acting group, action, and a group 49.2-1SemiEchelonBasis
61.9-8SemiEchelonBasisNC
61.9-8SemiEchelonMat
24.10-1SemiEchelonMatDestructive
24.10-2SemiEchelonMats
24.10-4SemiEchelonMatsDestructive
24.10-5SemiEchelonMatTransformation
24.10-3Semigroup
, for a list 51.1-2Semigroup
, for various generators 51.1-2SemigroupByGenerators
51.1-4SemigroupByMultiplicationTable
51.1-9SemigroupIdealByGenerators
51.4-1SemigroupOfRewritingSystem
53.6-4SemiSimpleType
64.6-1Set
30.3-7SetAssertionLevel
7.5-1SetCommutator
46.4-4SetConjugate
46.4-3SetCrystGroupDefaultAction
44.7-2SetCyclotomicsLimit
18.6-1SetDefaultInfoOutput
7.4-6SetElmWPObj
86.2-1SetEntrySCTable
62.4-4SetFilterObj
79.4-2SetFloats
19.2-9SetGasmanMessageStatus
7.11-2SetHelpViewer
2.3-1SetIndeterminateName
66.1-4SetInfoHandler
7.4-6SetInfoLevel
7.4-3SetInfoOutput
7.4-6SetName
12.8-1SetNameObject
6.3-7SetPackagePath
76.2-2SetParent
31.7-1SetPower
46.4-5SetPrintFormattingStatus
10.4-8SetRecursionTrapInterval
7.10-1SetReducedMultiplication
47.3-4Setter
13.6-2SetUserPreference
3.2-3SetX
21.21-2ShallowCopy
12.7-1ShallowCopy
, for lists 21.7ShiftedCoeffs
23.7-6ShiftedPadicNumber
68.1-4ShortestVectors
25.6-2ShortLexOrdering
34.4-6ShowAdditionTable
55.4-2ShowArgument
7.1-2ShowArguments
7.1-1ShowDetails
7.1-3ShowGcd
56.7-5ShowImpliedFilters
13.2-3ShowMethods
7.1-4ShowMultiplicationTable
55.4-2ShowOtherMethods
7.1-5ShowPackageVariables
76.3-13ShowUserPreferences
3.2-3ShrinkAllocationPlist
21.9-1ShrinkAllocationString
27.3-4ShrinkRowVector
23.5-3Shuffle
21.20-8SiftedPcElement
45.5-8SiftedPermutation
43.10-11SiftedVector
61.9-12Sigma
15.5-1SigmaL
50.2-10SignFloat
19.2-1SignInt
14.2-7SignPartition
16.2-27SignPerm
42.4-1SimpleGroup
39.15-13SimpleGroupsIterator
39.15-14SimpleLieAlgebra
64.2-7SimpleSystem
64.6-11SimplifiedFpGroup
48.1-6SimplifyPresentation
48.6-2SimsNo
50.10-2SimultaneousEigenvalues
24.14-4Sin
19.2-1SinCos
19.2-1SingleCollector
46.4-2Sinh
19.2-1SIntChar
27.7-3Size
30.4-6Size
, for a character table 71.8-5Size
, for groups with pcgs 45.16SizeBlist
22.2-3SizeConsiderFunction
39.21-4SizeNumbersPerfectGroups
50.8-6SizeOfFieldOfDefinition
72.15-3SizesCentralisers
71.9-2SizesCentralizers
71.9-2SizesConjugacyClasses
71.9-3SizeScreen
6.12-1SizesPerfectGroups
50.8-1SizeStabChain
43.10-3SL
, for dimension and a field size 50.2-2SL
, for dimension and a ring 50.2-2SlotUsagePattern
37.8-14SmallerDegreePermutationRepresentation
43.3-2SmallestGeneratorPerm
42.2-3SmallestMovedPoint
, for a list or collection of permutations 42.3-1SmallestMovedPoint
, for a permutation 42.3-1SmallestRootInt
14.2-10SmallGeneratingSet
39.22-4SmallGroup
, for a pair [ order, index ] 50.7-1SmallGroup
, for group order and index 50.7-1SmallGroupsInformation
50.7-8SmallSimpleGroup
39.15-15SmithNormalFormIntegerMat
25.2-6SmithNormalFormIntegerMatTransforms
25.2-7SMTX.AbsoluteIrreducibilityTest
69.12-8SMTX.AlgEl
69.13-2SMTX.AlgElCharPol
69.13-4SMTX.AlgElCharPolFac
69.13-5SMTX.AlgElMat
69.13-3SMTX.AlgElNullspaceDimension
69.13-7SMTX.AlgElNullspaceVec
69.13-6SMTX.CentMat
69.13-8SMTX.CentMatMinPoly
69.13-9SMTX.CompleteBasis
69.12-11SMTX.Getter
69.12-6SMTX.GoodElementGModule
69.12-2SMTX.IrreducibilityTest
69.12-7SMTX.MatrixSum
69.12-10SMTX.MinimalSubGModule
69.12-9SMTX.MinimalSubGModules
69.12-4SMTX.RandomIrreducibleSubGModule
69.12-1SMTX.Setter
69.12-5SMTX.SortHomGModule
69.12-3SMTX.Subbasis
69.13-1SO
50.2-7Socle
39.12-10SocleTypePrimitiveGroup
43.5-2SolutionIntMat
25.1-2SolutionMat
24.7-6SolutionMatDestructive
24.7-7SolutionNullspaceIntMat
25.1-3SolvableQuotient
, for a f.p. group and a list of primes 47.14-5SolvableQuotient
, for a f.p. group and a list of tuples 47.14-5SolvableQuotient
, for a f.p. group and a size 47.14-5Sort
21.18-1SortBy
21.18-1SortedCharacters
71.21-2SortedCharacterTable
, relative to the table of a factor group 71.21-4SortedCharacterTable
, w.r.t. a normal subgroup 71.21-4SortedCharacterTable
, w.r.t. a series of normal subgroups 71.21-4SortedList
30.3-6SortedSparseActionHomomorphism
41.7-3SortedTom
70.5-1Sortex
21.18-3SortingPerm
21.18-4SortParallel
21.18-2Source
32.3-8SourceOfIsoclinicTable
71.20-4SP
, for dimension and a ring 50.2-5Sp
, for dimension and a ring 50.2-5SP
, for dimension and field size 50.2-5Sp
, for dimension and field size 50.2-5SparseActionHomomorphism
41.7-3SparseCartanMatrix
64.7-2SparseHashTable
28.7-1SparseIntKey
28.5-2SpecialLinearGroup
, for dimension and a field size 50.2-2SpecialLinearGroup
, for dimension and a ring 50.2-2SpecialOrthogonalGroup
50.2-7SpecialPcgs
, for a group 45.13-2SpecialPcgs
, for a pcgs 45.13-2SpecialSemilinearGroup
50.2-10SpecialUnitaryGroup
50.2-4SplitCharacters
71.17-7SplitExtension
46.8-6SplitExtensions
46.8-10SplitString
27.6-12SplittingField
66.4-13SQ
, synonym of SolvableQuotient 47.14-5Sqrt
31.12-5Square
19.2-1SquareRoots
35.4-13SSortedList
30.3-7StabChain
, for a group (and a record) 43.8-1StabChain
, for a group and a base 43.8-1StabChainBaseStrongGenerators
43.8-4StabChainImmutable
43.8-1StabChainMutable
, for a group 43.8-1StabChainMutable
, for a homomorphism 43.8-1StabChainOp
43.8-1StabChainOptions
43.8-2Stabilizer
41.5-2StabilizerOfExternalSet
41.12-10StabilizerPcgs
45.15-1StandardAssociate
56.5-5StandardAssociateUnit
56.5-6StandardizeTable
47.7-2StarCyc
18.5-3START_TEST
7.9-2StartlineFunc
5.1-5State
14.7-3Stirling1
16.1-5Stirling2
16.1-6STOP_TEST
7.9-2StoredGroebnerBasis
66.18-3StoreFusion
73.3-4StraightLineProgElm
37.9-2StraightLineProgGens
37.9-3StraightLineProgram
, for a list of lines (and the number of generators) 37.8-2StraightLineProgram
, for a string and a list of generators names 37.8-2StraightLineProgramNC
, for a list of lines (and the number of generators) 37.8-2StraightLineProgramNC
, for a string and a list of generators names 37.8-2StraightLineProgramsTom
70.10-2StreamsFamily
10.1-9StretchImportantSLPElement
37.9-5String
27.6-6String
, for a cyclotomic 18.1-6StringDate
27.9-6StringFactorizationWord
47.2-4StringNumbers
27.6-20StringOfResultOfStraightLineProgram
37.8-6StringPP
27.6-9StringTime
27.9-9StripLineBreakCharacters
27.6-7StrongGeneratorsStabChain
43.10-4StronglyConnectedComponents
33.4-5StructByGenerators
31.3StructuralCopy
12.7-2StructuralCopy
, for lists 21.7StructureConstantsTable
62.4-2StructureDescription
39.6-1StructWithGenerators
31.3SU
50.2-4SubadditiveGroup
55.2-9SubadditiveGroupNC
55.2-9SubadditiveMagma
55.2-7SubadditiveMagmaNC
55.2-7SubadditiveMagmaWithZero
55.2-8SubadditiveMagmaWithZeroNC
55.2-8Subalgebra
62.6-1SubAlgebraModule
62.11-16SubalgebraNC
62.6-2SubalgebraWithOne
62.6-3SubalgebraWithOneNC
62.6-4SubdirectProduct
49.3-1SubdirectProducts
49.3-2Subfield
58.2-1SubfieldNC
58.2-1Subfields
58.2-10Subgroup
39.3-1Subgroup
, for a group 39.3-1SubgroupByPcgs
45.7-9SubgroupByProperty
39.3-11SubgroupNC
39.3-1SubgroupOfWholeGroupByCosetTable
47.8-2SubgroupOfWholeGroupByQuotientSubgroup
47.13-1SubgroupProperty
43.12-1SubgroupShell
39.3-12SubgroupsSolvableGroup
39.21-3Submagma
35.2-7SubmagmaNC
35.2-7SubmagmaWithInverses
35.2-9SubmagmaWithInversesNC
35.2-9SubmagmaWithOne
35.2-8SubmagmaWithOneNC
35.2-8Submodule
57.2-1SubmoduleNC
57.2-2Submonoid
52.1-3SubmonoidNC
52.1-3SubnearAdditiveGroup
55.2-9SubnearAdditiveGroupNC
55.2-9SubnearAdditiveMagma
55.2-7SubnearAdditiveMagmaNC
55.2-7SubnearAdditiveMagmaWithZero
55.2-8SubnearAdditiveMagmaWithZeroNC
55.2-8SubnormalSeries
39.17-4Subring
56.1-7SubringNC
56.1-7SubringWithOne
56.3-5SubringWithOneNC
56.3-5Subsemigroup
51.1-3SubsemigroupNC
51.1-3Subspace
61.2-2SubspaceNC
61.2-2Subspaces
61.4-1SubstitutedWord
, replace a subword by a given word 37.4-5SubstitutedWord
, replace an interval by a given word 37.4-5SubsTom
70.7-1Substruct
31.8SubstructNC
31.8SubSyllables
37.5-4SubtractBlist
22.4-4SubtractSet
21.19-8Subword
37.4-3Successors
33.2-9Sum
21.20-26SumFactorizationFunctionPcgs
45.12-1SumIntersectionMat
24.11-4SumX
21.21-3Sup
19.2-4SupersolvableResiduum
39.12-11SupportedCharacterTableInfo
71.3-4SurjectiveActionHomomorphismAttr
41.12-17SuzukiGroup
50.1-11SylowComplement
39.13-2SylowSubgroup
39.13-1SylowSystem
39.13-4SymmetricClosureBinaryRelation
33.4-2SymmetricGroup
, for a degree 50.1-9SymmetricGroup
, for a domain 50.1-9SymmetricParentGroup
43.4-4SymmetricParts
72.11-2SymmetricPowerOfAlgebraModule
64.15-3Symmetrizations
72.11-1SymplecticComponents
72.11-5SymplecticGroup
, for dimension and a ring 50.2-5SymplecticGroup
, for dimension and field size 50.2-5Sz
50.1-11TableAutomorphisms
71.22-2TableOfMarks
, for a group 70.3-1TableOfMarks
, for a matrix 70.3-1TableOfMarks
, for a string 70.3-1TableOfMarksByLattice
70.3-2TableOfMarksComponents
70.6-4TableOfMarksCyclic
70.12-1TableOfMarksDihedral
70.12-2TableOfMarksFamily
70.6-3TableOfMarksFrobenius
70.12-3Tan
19.2-1Tanh
19.2-1Tau
15.5-2TCENUM
47.6-5TeachingMode
6.13-1TemporaryGlobalVarName
4.9-11Tensored
72.8-20TensorProductGModule
69.2-2TensorProductOfAlgebraModules
, for a list of algebra modules 64.15-1TensorProductOfAlgebraModules
, for two algebra modules 64.15-1Test
7.9-3TestConsistencyMaps
73.5-12Tester
13.6-1TestHomogeneous
75.3-1TestInducedFromNormalSubgroup
75.3-4TestJacobi
62.4-6TestMonomial
, for a character 75.4-1TestMonomial
, for a character and a Boolean 75.4-1TestMonomial
, for a group 75.4-1TestMonomial
, for a group and a Boolean 75.4-1TestMonomialQuick
, for a character 75.4-4TestMonomialQuick
, for a group 75.4-4TestMonomialUseLattice
75.4-2TestPackageAvailability
76.3-2TestPerm1
72.14-2TestPerm2
72.14-2TestPerm3
72.14-2TestPerm4
72.14-2TestPerm5
72.14-2TestQuasiPrimitive
75.3-3TestRelativelySM
, for a character 75.4-6TestRelativelySM
, for a character and a normal subgroup 75.4-6TestRelativelySM
, for a group 75.4-6TestRelativelySM
, for a group and a normal subgroup 75.4-6TestSubnormallyMonomial
, for a character 75.4-5TestSubnormallyMonomial
, for a group 75.4-5then
4.17ThreeGroup
library 50.7TietzeWordAbstractWord
48.3-1time
7.6-3Trace
, for a field element 58.3-5Trace
, for a matrix 58.3-5Trace
, of a matrix 24.4-3TracedCosetFpGroup
47.6-2TraceImmediateMethods
7.3-3TraceMat
24.4-3TraceMethods
7.3-1TracePolynomial
58.3-3TransferDiagram
73.5-11Transformation
54.1-3TransformationData
54.1-2TransformationFamily
54.1-2TransformationNC
54.1-3TransformationRelation
54.1-16TransformationType
54.1-2TransformingPermutations
71.22-3TransformingPermutationsCharacterTables
71.22-4TransitiveClosureBinaryRelation
33.4-3TransitiveGroup
50.6-1TransitiveIdentification
50.6-3Transitivity
, for a character 72.8-16Transitivity
, for a group and an action domain 41.10-2Transitivity
, for an external set 41.10-2TranslatorSubalgebra
62.11-24TransposedMat
24.5-6TransposedMatAttr
24.5-6TransposedMatDestructive
24.5-7TransposedMatImmutable
24.5-6TransposedMatMutable
24.5-6TransposedMatOp
24.5-6TransposedMatrixGroup
44.2-4TriangulizedIntegerMat
25.2-1TriangulizedIntegerMatTransform
25.2-2TriangulizedMat
24.7-2TriangulizedNullspaceMat
24.7-4TriangulizedNullspaceMatDestructive
24.7-5TriangulizeIntegerMat
25.2-3TriangulizeMat
24.7-3TrivialCharacter
, for a character table 72.7-1TrivialCharacter
, for a group 72.7-1TrivialGroup
50.1-1TrivialIterator
30.8-7TrivialSubalgebra
62.6-5TrivialSubgroup
39.12-1TrivialSubmagmaWithOne
35.4-14TrivialSubmodule
57.2-4TrivialSubmonoid
52.1-8TrivialSubnearAdditiveMagmaWithZero
55.3-6TrivialSubspace
61.3-2Trunc
19.2-1TryCosetTableInWholeGroup
47.8-1TryGcdCancelExtRepPolynomials
66.24-2TryNextMethod
78.4-1Tuples
16.2-8TwoClosure
43.12-3TwoCoboundaries
46.8-1TwoCocycles
46.8-2TwoCohomology
46.8-3TwoGroup
library 50.7TwoSidedIdeal
56.2-1TwoSidedIdealByGenerators
56.2-4TwoSidedIdealNC
56.2-2TwoSquares
15.7-1TypeObj
13.9-1TypeOfDefaultGeneralMapping
32.14-7TzEliminate
, for a presentation (and a generator) 48.7-1TzEliminate
, for a presentation (and an integer) 48.7-1TzFindCyclicJoins
48.7-4TzGo
48.6-1TzGoGo
48.6-3TzImagesOldGens
48.9-3TzInitGeneratorImages
48.9-1TzNewGenerator
48.5-2TzOptions
48.11-1TzPreImagesNewGens
48.9-4TzPrint
48.4-6TzPrintGeneratorImages
48.9-5TzPrintGenerators
48.4-1TzPrintLengths
48.4-3TzPrintOptions
48.11-2TzPrintPairs
48.4-7TzPrintPresentation
48.4-5TzPrintRelators
48.4-2TzPrintStatus
48.4-4TzSearch
48.7-2TzSearchEqual
48.7-3TzSort
48.1-2TzSubstitute
, for a presentation (and an integer and 0/1/2) 48.8-1TzSubstitute
, for a presentation and a word 48.8-1TzSubstituteCyclicJoins
48.8-2UglyVector
61.11-2Unbind
, unbind a list entry 21.5-2Unbind
, unbind a record component 29.6-2Unbind
, unbind a variable 4.8-2Unbind\.
29.7-3Unbind\[\]
21.2-1UnbindElmWPObj
86.2-1UnbindGlobal
4.9-6UnderlyingCharacteristic
, for a character 71.9-5UnderlyingCharacteristic
, for a character table 71.9-5UnderlyingCharacterTable
72.2-1UnderlyingElement
, fp group elements 47.4-4UnderlyingElement
, fp semigroup elements 53.4-1UnderlyingElementOfReesMatrixSemigroupElement
51.8-8UnderlyingElementOfReesZeroMatrixSemigroupElement
51.8-8UnderlyingExternalSet
41.12-16UnderlyingFamily
64.1-4UnderlyingGeneralMapping
32.3-10UnderlyingGroup
, for character tables 71.6-1UnderlyingGroup
, for tables of marks 70.7-7UnderlyingLeftModule
61.6-2UnderlyingLieAlgebra
64.6-6UnderlyingMagma
65.1-6UnderlyingRelation
32.3-9UnderlyingRingElement
64.1-5UnInstallCharReadHookFunc
10.10-2Union
, for a list 30.5-3Union
, for various collections 30.5-3Union2
30.5-3UnionBlist
, for a list 22.3-1UnionBlist
, for various boolean lists 22.3-1Unique
21.20-4UniteBlist
22.4-1UniteBlistList
22.4-2UniteSet
21.19-6Units
56.5-2UnivariatenessTestRationalFunction
66.5-7UnivariatePolynomial
66.5-1UnivariatePolynomialByCoefficients
66.5-2UnivariatePolynomialRing
, for a ring (and a name and an exclusion list) 66.16-1UnivariatePolynomialRing
, for a ring (and an indeterminate number) 66.16-1UnivariateRationalFunctionByCoefficients
66.14-1UniversalEnvelopingAlgebra
64.10-1UNIXSelect
10.2-3Unknown
74.1-1UnloadSmallGroupsData
50.7-9UnorderedTuples
16.2-6UnprofileFunctions
7.7-5UnprofileMethods
7.7-7until
4.19UntraceMethods
7.3-2UpdateMap
73.5-7UpEnv
6.5-1UpperCentralSeriesOfGroup
39.17-12UpperSubdiagonal
24.12-2UseBasis
57.3-5UseFactorRelation
31.13-2UseIsomorphismRelation
31.13-3UserPreference
3.2-3UseSubsetRelation
31.13-1ValidatePackageInfo
76.3-12Valuation
68.1-3Value
, for a univariate rat. function, a value (and a one) 66.7-1Value
, for rat. function, a list of indeterminates, a value (and a one) 66.7-1ValueCochain
64.12-4ValueGlobal
4.9-4ValueMolienSeries
72.12-3ValueOption
8.1-5ValuePol
23.7-1ValuesOfClassFunction
72.2-2VectorSpace
61.2-1VectorSpaceByPcgsOfElementaryAbelianGroup
45.14-1vi
6.11View
6.3-3ViewObj
6.3-5ViewObj
, for a character table 71.13-1ViewObj
, for a ffe 59.6-1ViewObj
, for a string 27.1-4ViewObj
, for a table of marks 70.4-1ViewObj
, for class functions 72.5-1ViewString
27.6-3vim
6.11VirtualCharacter
, for a character table and a list 72.6-2VirtualCharacter
, for a group and a list 72.6-2WeakPointerObj
86.1-1WedgeGModule
69.2-3WeekDay
27.9-5WeightLexOrdering
34.4-8WeightOfGenerators
34.4-10WeightsTom
70.7-12WeightVecFFE
23.6-1WeylGroup
64.7-3WeylOrbitIterator
64.7-7Where
6.4-5while
loop 4.18WordAlp
27.6-10WreathProduct
49.4-1WreathProductImprimitiveAction
49.4-2WreathProductOrdering
34.4-13WreathProductProductAction
49.4-3WriteAll
10.4-3WriteByte
10.4-1WriteGapIniFile
3.2-3WriteLine
10.4-2X
, for a family and a number 66.1-1X
, for a ring (and a name, and an exclusion list) 66.1-1X
, for a ring (and a number) 66.1-1Z
, for field size 59.1-2Z
, for prime and degree 59.1-2ZClassRepsQClass
44.6-9Zero
31.10-3ZeroAttr
31.10-3ZeroCoefficient
65.2-5ZeroCoefficientRatFun
66.21-4ZeroImmutable
31.10-3ZeroMapping
32.2-8ZeroMutable
31.10-3ZeroOp
31.10-3ZeroSameMutability
31.10-3ZeroSM
31.10-3Zeta
19.2-1ZippedProduct
66.23-2ZippedSum
66.23-1ZmodnZ
14.5-2ZmodnZObj
, for a residue class family and integer 14.5-3ZmodnZObj
, for two integers 14.5-3ZmodpZ
14.5-2ZmodpZNC
14.5-2ZumbroichBase
60.3-1Zuppos
39.20-8
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