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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 Finite metric spaces and their filtered complexes
29 Commutative diagrams and abstract categories
30 Arrays and Pseudo lists
31 Parallel Computation - Core Functions
32 Parallel Computation - Extra Functions
33 Some functions for accessing basic data
34 Miscellaneous
Index

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