Cohomology of finite groups without homological algebra

2014/03/06 by Sergei O. Ivanov, Ivanov, Sergei O., Nikolay N. Mostovsky +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1403.1425

This paper has been withdrawn by the author because these results are well known

arxiv created 2015/07/15 · arxiv updated 2015/07/16

Abstract

We prove explicit and elementary formulas for the group homology and cohomology of a finite group with coefficients in any module. We describe in elementary terms the cohomology algebra H^*(G,k) as a graded algebra for a finite group G and a commutative ring k.

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