Cohomologies of finite abelian groups

We construct a simplified resolution for the trivial G-module 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.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2017
Main Authors: Drozd, Yu.A., Plakosh, A.I.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/156259
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cohomologies of finite abelian groups / Yu.A. Drozd, A.I. Plakosh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 144-157. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine