About HAP: Table Of Contents

HAP Home Overview Algebraic definition of group cohomology Topological view of group cohomology Extensions and second cohomology Bogomolov multipliers Homotopy 2-types and third cohomology Homology of simplicial groups and of 2-types Enumerating homotopy 2-types Resolutions for extensions of groups Resolutions for arithmetic groups Bredon homology Davis Complex    [by Alexander Rahm & Ruben Sanchez-Garcia] Functorial properties of cohomology Exact cohomology coefficient sequence 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 Nonabelian tensor product of crossed modules A relative Schur multiplier, Baer invariants and the capability of groups Resolutions for some (infinite) Artin groups Resolutions for Coxeter 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 Torsion subcomplexes [by Alexander Rahm and Bui Anh Tuan] Simplicial, cubical, permutahedral and regular CW-complexes Random simplicial complexes The fundamental group of CW-complexes Knots, links and proteins Computing a peripheral system for a 3-manifold Covering spaces Quandles Persistent homology Metric Spaces Digital image analysis Parallel computation Programming homological diagrams in abelian categories Computational performance of HAP HAP Home