GAP (Groups, Algorithms, and Programming) is a system for computational discrete algebra with particular emphasis on computational group theory. It provides a programming language, a library of thousands of functions implementing algebraic algorithms written in the GAP language, and large data libraries of algebraic objects.
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About Gap
GAP was created in 1986 by a group of mathematicians and computer scientists. It was developed to provide a tool for computational discrete algebra, with a focus on computational group theory. The system aimed to support research and teaching in abstract algebra by offering a programming language, algorithmic functions, and extensive libraries of algebraic objects.
GAP's strengths include its extensive library of algebraic functions, powerful computational capabilities in group theory, and open-source nature. Weaknesses are its steep learning curve for new users and limited support for non-algebraic computations. Competitors include systems like Magma, SageMath, and Mathematica, which offer broader mathematical functionality and sometimes more user-friendly interfaces.
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