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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Construction of central units in integral group rings of finite groups
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by Eric Jespers and M. M. Parmenter PDF
Proc. Amer. Math. Soc. 140 (2012), 99-107 Request permission

Abstract:

In this paper we give new constructions of central units that generate a subgroup of finite index in the central units of the integral group ring $\mathbb {Z} G$ of a finite group. This is done for a very large class of finite groups $G$, including the abelian-by-supersolvable groups.
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Additional Information
  • Eric Jespers
  • Affiliation: Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium
  • MR Author ID: 94560
  • Email: efjesper@vub.ac.be
  • M. M. Parmenter
  • Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, A1C 5S7, Canada
  • Email: mparmen@mun.ca
  • Received by editor(s): June 3, 2010
  • Received by editor(s) in revised form: July 20, 2010, and November 10, 2010
  • Published electronically: May 17, 2011
  • Additional Notes: The first author was supported in part by Onderzoeksraad of Vrije Universiteit Brussel and Fonds voor Wetenschappelijk Onderzoek (Belgium)
    The second author was supported in part by the Natural Sciences and Engineering Research Council of Canada.
  • Communicated by: Jonathan I. Hall
  • © Copyright 2011 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 99-107
  • MSC (2010): Primary 16S34, 16U60, 16U70
  • DOI: https://doi.org/10.1090/S0002-9939-2011-10968-7
  • MathSciNet review: 2833521