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GAP CrystCat - The crystallographic groups catalog

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.

This package provides a catalog of crystallographic groups of dimensions 2, 3, and 4 which covers most of the data contained in the book Crystallographic groups of four-dimensional space by H. Brown, R. Bülow, J. Neubüser, H. Wondratschek, and H. Zassenhaus (John Wiley, New York, 1978). Methods for the computation with these groups are provided by the package Cryst, which must be installed as well. This package was written by Volkmar Felsch and Franz Gähler.

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