Equivariant Crossed Modules and Cohomology of Groups with Operators

2013/02/19 by Nguyễn Tiến Quang, Quang, Nguyen Tien, Pham Thi Cuc +1
Mathematics · #18D10 #18D30 #20E22 #20J06 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1302.4573

openalex publication_date 2013/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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