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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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Finite groups of Seitz type
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by Michael Aschbacher PDF
Proc. Amer. Math. Soc. 142 (2014), 113-120 Request permission

Abstract:

We show that a useful condition of Seitz on finite groups of Lie type over fields of order $q>4$ is often satisfied when $q$ is $2$ or $3$. We also observe that various consequences of the Seitz condition, established by Seitz and Cline, Parshall, and Scott when $q>4$, also hold when $q$ is $3$ or $4$.
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Additional Information
  • Michael Aschbacher
  • Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
  • MR Author ID: 27630
  • Received by editor(s): February 23, 2012
  • Received by editor(s) in revised form: March 7, 2012, and March 9, 2012
  • Published electronically: October 4, 2013
  • Additional Notes: This work was partially supported by NSF grants DMS-0504852 and DMS-0969009
  • Communicated by: Pham Huu Tiep
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 113-120
  • MSC (2010): Primary 20D05, 20E42
  • DOI: https://doi.org/10.1090/S0002-9939-2013-11752-1
  • MathSciNet review: 3119186