Symmetric cohomology of groups as a Mackey functor

2014/12/05 by C. C. Todea, Todea, C. C.
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1412.2089

arxiv created 2014/12/05 · arxiv updated 2014/12/08

Abstract

Symmetric cohomology of groups, defined by M. Staic in [2], is similar to the way one defines the cyclic cohomology for algebras. We show that there is a well-defined restriction, conjugation and transfer map in symmetric cohomology, which form a Mackey functor under a restriction. Some new properties for the symmetric cohomology group using normalized cochains are also given.

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