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Contents

1 Resolutions of the ground ring
2 Resolutions of modules
3 Induced equivariant chain maps
4 Functors
5 Chain complexes
6 Sparse Chain complexes
7 Homology and cohomology groups
8 Poincare series
9 Cohomology ring structure
10 Cohomology rings of p-groups (mainly p=2)
11 Commutator and nonabelian tensor computations
12 Lie commutators and nonabelian Lie tensors
13 Generators and relators of groups
14 Orbit polytopes and fundamental domains
15 Cocycles
16 Words in free ZG-modules
17 FpG-modules
18 Meataxe modules
19 G-Outer Groups
20 Cat-1-groups
21 Simplicial groups
22 Coxeter diagrams and graphs of groups
23 Torsion subcomplexes
24 Simplicial Complexes
25 Cubical Complexes
26 Regular CW-Complexes
27 Knots and Links
28 Commutative diagrams and abstract categories
29 Arrays and Pseudo lists
30 Parallel Computation - Core Functions
31 Parallel Computation - Extra Functions
32 Some functions for accessing basic data
33 Miscellaneous
Index

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