Cohomologies of finite abelian groups
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 144-157.

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We construct a simplified resolution for the trivial $G$-module $\mathbb{Z}$, where $G$ is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies of irreducible $G$-lattices and their duals.
Mots-clés : cohomologies, finite abelian groups, resolution, $G$-lattice. 
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Yuriy A. Drozd; Andriana I. Plakosh. Cohomologies of finite abelian groups. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 144-157. https://geodesic-test.mathdoc.fr/item/ADM_2017_24_1_a8/

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