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 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 Quandles [by Cédric Fragnaud] Persistent homology Metric Spaces Digital image analysis Parallel computation Programming homological diagrams in abelian categories Computational performance of HAP HAP Home