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

Nguyen Tien Quang, Che Thi Kim Phung, Pham Thi Cuc

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 typ…