EQUIVARIANT CROSSED MODULES AND COHOMOLOGY OF GROUPS WITH OPERATORS

Title & Authors
EQUIVARIANT CROSSED MODULES AND COHOMOLOGY OF GROUPS WITH OPERATORS
CUC, PHAM THI; QUANG, NGUYEN TIEN;

Abstract
In this paper we study equivariant crossed modules in its link with strict graded categorical groups. The resulting Schreier theory for equivariant group extensions of the type of an equivariant crossed module generalizes both the theory of group extensions of the type of a crossed module and the one of equivariant group extensions.
Keywords
$\small{{\Gamma}}$-crossed module;strict graded categorical group;regular graded monoidal functor;equivariant extension;equivariant cohomology;
Language
English
Cited by
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