GAP

Abstract

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, large data libraries of algebraic objects and a growing collection of user-contributed extension packages. GAP is widely used in research and teaching for studying groups and their representations, rings, vector spaces, algebras, combinatorial structures, codes, Lie algebras and more. It has been cited in over 800 published papers. The system, including source, is distributed freely. You can study and easily modify or extend it for your special use.