Bull. Korean Math. Soc. 2015; 52(4): 1077-1095
Printed July 31, 2015
https://doi.org/10.4134/BKMS.2015.52.4.1077
Copyright © The Korean Mathematical Society.
Pham Thi Cuc and Nguyen Tien Quang
Hongduc University, Hanoi National University of Education
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: $\Gamma$-crossed module, strict graded categorical group, regular graded monoidal functor, equivariant extension, equivariant cohomology
MSC numbers: 18D10, 18D30, 20E22, 20J06
2017; 54(5): 1725-1741
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