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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Trivial units for group rings over rings of algebraic integers
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by Allen Herman and Yuanlin Li PDF
Proc. Amer. Math. Soc. 134 (2006), 631-635 Request permission

Abstract:

Let $G$ be a nontrivial torsion group and $R$ be the ring of integers of an algebraic number field. The necessary and sufficient conditions are given under which $RG$ has only trivial units.
References
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Additional Information
  • Allen Herman
  • Affiliation: Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada S4S 0A2
  • Email: aherman@math.uregina.ca
  • Yuanlin Li
  • Affiliation: Department of Mathematics, Brock University, St. Catharine’s, Ontario, Canada L2S 3A1
  • Email: yli@brocku.ca
  • Received by editor(s): August 6, 2004
  • Received by editor(s) in revised form: October 1, 2004
  • Published electronically: July 18, 2005
  • Additional Notes: This research was supported in part by Discovery Grants from the Natural Sciences and Engineering Research Council of Canada.
  • Communicated by: Martin Lorenz
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 631-635
  • MSC (2000): Primary 16S34; Secondary 16U60
  • DOI: https://doi.org/10.1090/S0002-9939-05-08018-4
  • MathSciNet review: 2180878