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Lattice of subgroups

Small Groups
Part of the Lecture Notes in Computer Science book series (LNCS, volume 559)

Abstract

With a knowledge of all the perfect groups, the cyclic extension method can determine all the subgroups of a group, and arrange them as a lattice. Clever use of bit operations and reducing the extending elements considered from the whole group to just the generators of the cyclic subgroups of prime power order saves a lot of time, and the use of characteristic functions of zuppos saves a lot of space.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

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