Invariants for distinguishing between stably isomorphic modules
type: Item
instance of: scholarly article
title: Invariants for distinguishing between stably isomorphic modules
zbMATH Open document ID: 0566.20002
DOI: 10.1016/0022-4049(85)90092-1
author: Michael N. Dyer
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: In [\textit{A. Sieradski} and \textit{M. N. Dyer}, J. Pure Appl. Algebra 15, 199-217 (1979; Zbl 0415.20003)], an invariant, the bias, was defined for \({\mathbb{Z}}G\)-modules M occurring as the final term in a free resolution of the trivial module \({\mathbb{Z}}\), where G is a finite group. This invariant often distinguishes between isomorphism types of minimal relation modules for G, where G is finite abelian. The present paper extends the definition of bias to certain modules over group rings of infinite groups. There are applications to the study of minimal relation modules of finitely generated abelian groups.
reviewed by: Kenneth A. Brown
Mathematics Subject Classification ID: 20C07
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20K99
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 3902878
zbMATH Keywords: free resolution
zbMATH Keywords: isomorphism types of minimal relation modules
zbMATH Keywords: bias
zbMATH Keywords: group rings of infinite groups
zbMATH Keywords: finitely generated abelian groups
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90092-1
OpenAlex ID: W1967840604
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description: scientific article; zbMATH DE number 3902878