By John J. Cannon
Communications of the ACM,
January 1969,
Vol. 12 No. 1, Pages 3-12
10.1145/362835.362837
Comments
Computers are being applied to an increasingly diverse range of problems in group theory. The most important areas of application at present are coset enumeration, sub-group lattices, automorphism groups of finite groups, character tables, and commutator calculus. Group theory programs range from simple combinatorial or numerical programs to large symbol manipulation systems. In this survey the more important algorithms in use are described and contrasted, and results which have been obtained using existing programs are indicated. An extensive bibliography is included.
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