Cohomology of finite groups without homological algebra

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 $H^{\ast }(G,k)$ as a graded algebra for a finite group $G$ and a commutative ring $k.$

arXiv commentThis paper has been withdrawn by the author because these results are well known