English

Cohomologies of finite abelian groups

Group Theory 2017-12-13 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1709.05616,
  title  = {Cohomologies of finite abelian groups},
  author = {Yuriy A. Drozd and Andriana I. Plakosh},
  journal= {arXiv preprint arXiv:1709.05616},
  year   = {2017}
}

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13 pages