About HAP: Table Of Contents
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Overview
Algebraic definition of group cohomology
Topological view of group cohomology
Extensions and second cohomology
Homotopy 2-types and third cohomology
Resolutions for extensions of groups
Functorial properties of cohomology
Third integral homology of some superperfect groups
Second homotopy groups of presentations and a periodic resolution for a group not acting on a sphere
Presentations and modules of identities for the nonabelian groups of order at most 30
Aspherical presentations
Third homotopy groups of suspensions of classifying spaces
A relative Schur multiplier, Baer invariants and the capability of groups
Resolutions for some infinite (Artin) groups
Non-crossing partitions for finite Coxeter groups
Cup product and integral cohomology rings
Mod p cohomology rings
Poincare series for groups of order 32
Poincare series for groups of order 64
Tor and Ext of modules over a mod p group ring
Cohomology with twisted coefficients
Resolutions for graphs of groups, Fuchsian groups and Kleinian groups
Piecing things together - a space group example
Piecing things together - the Rosenberger monster
Explicit cocycles
Groups acting on polytopes
Betti numbers for some orientable 7-
dimensional Hantzsche-Wendt Manifolds
(using HAPcryst)
Fundamental domains for 3-dimensional flat manifolds
(using HAPcryst)
On a relationship between group homology and Lie algebra homology
Lie covering homomorphisms
Simplicial and cubical complexes
Topological data analysis
Parallel computation
Programming homological diagrams in abelian categories
Computational performance of HAP
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