Semidirect products and extensions in protomodular categories

George Janelidze (7/1/98, 14/1/98, and 21/1/98)

This is joint work with D.Bourn. Eilenberg - Mac Lane theory of group exnetsions is extended to protomodular categories in the sense of D.Bourn, using J.Beck's theory of torsors. A new syntactical description of protomodular varieties helps to construct various examples and establish the relationship with M.Barr - G.Orzech theory of extensions of omega-groups.

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Steve Lack

Last modified: Wed May 20 10:49:20 EST 1998