Bicrossed products for finite groups

Details Bicrossed products for finite groups Bicrossed products for finite groups

2007-03-15

arxiv.org/abs/math/0703471v3

Mathematics

Group Theory

Final version: to appear in Algebras and Representation Theory

Scientific paper

We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written as bicrossed products between groups of fixed isomorphism types. The groups obtained as bicrossed products of two finite cyclic groups, one being of prime order, are described.

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