The factor set of Gr-categories of the type $(\Pi,A)$

zbMATH Open1219.18004arXiv0911.1689MaRDI QIDQ3009679

Nguyen Tien Quang

Publication date: 24 June 2011

Abstract: Any $Gamma$-graded categorical group is determined by a factor set of a categorical group. This paper studies the factor set of the group $Gamma$ with coefficients in the categorical group of the type $(Pi,A).$ Then, an interpretation of the notion of $Gamma-$operator $3-$cocycle is presented and the proof of cohomological classification theorem for the a $Gamma-$graded Gr-category is also presented.

Full work available at URL: https://arxiv.org/abs/0911.1689

zbMATH Keywords

group cohomologymonoidal categorycrossed productfactor setgraded extension

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22)

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