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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Group rings whose torsion units form a subgroup


Author: César Polcino Milies
Journal: Proc. Amer. Math. Soc. 81 (1981), 172-174
MSC: Primary 16A26; Secondary 20C07
MathSciNet review: 593449
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Abstract: Denote by $ TU({\mathbf{Z}}G)$ the set of units of finite order of the integral group ring of a group $ G$. We determine the class of all groups $ G$ such that $ TU({\mathbf{Z}}G)$ is a subgroup and study how this property relates to certain properties of the unit groups.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0593449-6
PII: S 0002-9939(1981)0593449-6
Keywords: Group rings, unit groups, torsion units, nilpotent, $ FC$ group
Article copyright: © Copyright 1981 American Mathematical Society