The commutative cohomology of two-generator semigroups
type: Item
instance of: scholarly article
title: The commutative cohomology of two-generator semigroups
zbMATH Open document ID: 0951.20049
author: Pierre Antoine Grillet
published in: Semigroup Forum
publication date: 2000-09-14T00:00:00Z
review text: The second cohomology group \(H^2(S,A)\) classifies commutative group coextensions of \(S\) by \(A\). The paper under review deals with a simpler case, namely when \(A\) is thin and \(S\) is finite groupfree with two generators. In this case \(S\) has at most one noncyclic Ponizovskij factor. The author uses a general description of \(H^2(S,A)\) to investigate various particular cases and to study the relationship between the cohomology groups of \(S\) and its main Ponizovskij factor.
Mathematics Subject Classification ID: 20M50
Mathematics Subject Classification ID: 20M14
zbMATH DE Number: 1394454
zbMATH Keywords: commutative semigroup cohomology
zbMATH Keywords: Ponizovskij factors
zbMATH Keywords: cohomology groups
reviewed by: Cornel Baetica
MaRDI profile type: Publication
full work available at URL: s002330010002
OpenAlex ID: W2075032826
DOI: 10.1007/S002330010002
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description: scientific article; zbMATH DE number 1394454