Group rings whose torsion units form a subgroup
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- by César Polcino Milies PDF
- Proc. Amer. Math. Soc. 81 (1981), 172-174 Request permission
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.References
- M. M. Parmenter and C. Polcino Milies, Group rings whose units form a nilpotent or FC group, Proc. Amer. Math. Soc. 68 (1978), no. 2, 247–248. MR 498817, DOI 10.1090/S0002-9939-1978-0498817-9
- Sudarshan K. Sehgal, Topics in group rings, Monographs and Textbooks in Pure and Applied Mathematics, vol. 50, Marcel Dekker, Inc., New York, 1978. MR 508515
- S. K. Sehgal and H. J. Zassenhaus, Integral group rings with nilpotent unit groups, Comm. Algebra 5 (1977), no. 2, 101–111. MR 447321, DOI 10.1080/00927877708822161
- Sudarshan K. Sehgal and Hans J. Zassenhaus, Group rings whose units form an FC-group, Math. Z. 153 (1977), no. 1, 29–35. MR 435197, DOI 10.1007/BF01214731
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 81 (1981), 172-174
- MSC: Primary 16A26; Secondary 20C07
- DOI: https://doi.org/10.1090/S0002-9939-1981-0593449-6
- MathSciNet review: 593449