Cohomologies of finite abelian groups
Yuriy A. Drozd, Andriana I. Plakosh

TL;DR
This paper introduces a simplified resolution for computing the cohomology of finite abelian groups, enabling more efficient calculations for G-lattices and their duals.
Contribution
It presents a new simplified resolution method for trivial modules over finite abelian groups, improving upon standard resolutions.
Findings
Efficient computation of cohomologies for irreducible G-lattices.
Comparison shows the simplified resolution is more streamlined than standard methods.
Results facilitate better understanding of G-module structures.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Rings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology
