Cohomology of finite groups without homological algebra
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algebracohomologyfinitegroupelementarycoefficientscommutativedescribe
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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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