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