Braided equivariant crossed modules and cohomology of $\Gamma$-modules

Abstract

If $\Gamma$ is a group, then braided $\Gamma$-crossed modules are classified by braided strict $\Gamma$-graded categorial groups. The Schreier theory obtained for $\Gamma$-module extensions of the type of an abelian $\Gamma$-crossed module is a generalization of the theory of $\Gamma$-module extensions.

22 pages