Products of free groups in the unit group of integral group rings. II
type: Item
instance of: scholarly article
title: Products of free groups in the unit group of integral group rings. II
zbMATH Open document ID: 0873.20003
author: Guilherme Leal
author: Ángel del Río
published in: Journal of Algebra
publication date: 1997-09-04T00:00:00Z
review text: The authors classify the finite groups \(G\) such that the group of units of the integral group ring \(\mathbb{Z} G\) of \(G\) has a subgroup of finite index which is a direct product of noncyclic free groups. The classification is done in terms of restrictions to the Wedderburn components which can occur and the authors classify moreover the isomorphism types of the groups \(G\) having this property. In part I [ibid. 180, No. 1, 22-40 (1996; Zbl 0846.20006)] the authors and \textit{E. Jespers} classified the nilpotent \(G\) with this property.
reviewed by: Alexander Zimmermann
Mathematics Subject Classification ID: 20C05
Mathematics Subject Classification ID: 16U60
Mathematics Subject Classification ID: 16S34
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1019694
zbMATH Keywords: direct products of free groups
zbMATH Keywords: finite groups
zbMATH Keywords: groups of units
zbMATH Keywords: integral group rings
zbMATH Keywords: subgroups of finite index
zbMATH Keywords: Wedderburn components
MaRDI profile type: Publication
full work available at URL: jabr.1996.6926
OpenAlex ID: W2060224401
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DOI: 10.1006/JABR.1996.6926
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description: scientific article; zbMATH DE number 1019694