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

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