AboutHap

Homological Algebra Programming
List of HAP functions Introduction to HAP Algebraic definition of group cohomology Topological view of group cohomology Resolutions for extensions of groups Functorial properties of cohomology Second homotopy groups of presentations and a periodic resolution for a group not acting on a sphere Aspherical presentations Third homotopy groups of suspensions of classifying spaces A relative Schur multiplier and the capability of groups Resolutions for some infinite (Artin) groups Cup product and integral cohomology rings Cohomology with twisted coefficients Piecing things together - a space group example Explicit cocycles Groups acting on polytopes Computational performance of HAP HAP main page