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arXiv · 1403.1425

Cohomology of finite groups without homological algebra

Sergei O. Ivanov·Nikolay N. Mostovsky
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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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Sergei O. Ivanov, Nikolay N. Mostovsky. 2014-03-06. Cohomology of finite groups without homological algebra. https://arxiv.org/abs/1403.1425

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