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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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On the number of different prime divisors of element orders
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by Alexander Moretó PDF
Proc. Amer. Math. Soc. 134 (2006), 617-619 Request permission

Abstract:

We prove that the number of different prime divisors of the order of a finite group is bounded by a polynomial function of the maximum of the number of different prime divisors of the element orders. This improves a result of J. Zhang.
References
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Additional Information
  • Alexander Moretó
  • Affiliation: Departament d’Àlgebra, Universitat de València, 46100 Burjassot, València, Spain
  • ORCID: 0000-0002-6914-9650
  • Email: Alexander.Moreto@uv.es
  • Received by editor(s): September 21, 2004
  • Published electronically: July 7, 2005
  • Additional Notes: This research was supported by the Programa Ramón y Cajal, the Spanish Ministerio de Ciencia y Tecnología, grant BFM2001-0180, and the FEDER
  • Communicated by: Jonathan I. Hall
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 617-619
  • MSC (2000): Primary 20D60; Secondary 20D06
  • DOI: https://doi.org/10.1090/S0002-9939-05-08156-6
  • MathSciNet review: 2180876