GAP is a system for computational discrete algebra, with particular emphasis
on Computational Group Theory. GAP provides a programming language, a library
of thousands of functions implementing algebraic algorithms written in the GAP
language as well as large data libraries of algebraic objects. GAP is used in
research and teaching for studying groups and their representations, rings,
vector spaces, algebras, combinatorial structures, and more.
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HAP is a package for some calculations in elementary algebraic topology and
the cohomology of groups. The initial focus of the library was on computations
related to the cohomology of finite and infinite groups, with particular
emphasis on integral coefficients. The focus has since broadened to include
Steenrod algebras of finite groups, Bredon homology, cohomology of simplicial
groups, and general computations in algebraic topology relating to finite
CW-complexes, covering spaces, knots, knotted surfaces, and topics such as
persistent homology arising in topological data analysis.
Installed Size: 33.7 MB
Architectures: all