Computers in Group Theory: a Survey 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, subgroup 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. CACM January, 1969 Cannon, J. J. group theory, coset enumeration, subgroup lattices, automorphism groups, character tables, commutator calculus, topology, crystallography, permutation groups, Abelian groups, discrete mathematics, non-numerical programming, symbol manipulation, survey 1.3 3.15 5.39 CA690101 JB February 20, 1978 1:27 PM 1567 4 1948 1948 4 1948 1948 4 1948 1391 5 1948 1559 5 1948 1948 5 1948 1948 5 1948 1948 5 1948