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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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Hall subgroups of $M$-groups need not be $M$-groups
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by Hiroshi Fukushima PDF
Proc. Amer. Math. Soc. 133 (2005), 671-675 Request permission

Abstract:

In this paper, we shall give examples of $M$-groups that have Hall subgroups that are not $M$-groups.
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Additional Information
  • Hiroshi Fukushima
  • Affiliation: Department of Mathematics, Faculty of Education, Gunma University Maebashi, Gunma 371-8510, Japan
  • Email: fukusima@edu.gunma-u.ac.jp
  • Received by editor(s): June 23, 2003
  • Received by editor(s) in revised form: October 29, 2003
  • Published electronically: August 24, 2004
  • Communicated by: Jonathan I. Hall
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 671-675
  • MSC (2000): Primary 20C15
  • DOI: https://doi.org/10.1090/S0002-9939-04-07645-2
  • MathSciNet review: 2113913