Cohomologies of finite abelian groups

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• ISSN: 1726-3255
• 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
• 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.

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.