This article is cited in 2 papers

RESEARCH ARTICLE

Cohomologies of finite abelian groups

Yuriy A. Drozd, Andriana I. Plakosh

Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska 3, 01601 Kyiv, Ukraine

Abstract: 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.

Keywords: cohomologies, finite abelian groups, resolution, $G$-lattice.

MSC: 20J06, 18G10, 20K01

Received: 26.08.2017

Language: English

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