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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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Brauer characters of $q’$- degree
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by Mark L. Lewis and Hung P. Tong Viet PDF
Proc. Amer. Math. Soc. 145 (2017), 1891-1898 Request permission

Abstract:

We show that if $p$ is a prime and $G$ is a finite $p$-solvable group satisfying the condition that a prime $q$ divides the degree of no irreducible $p$-Brauer character of $G$, then the normalizer of some Sylow $q$-subgroup of $G$ meets all the conjugacy classes of $p$-regular elements of $G$.
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Additional Information
  • Mark L. Lewis
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
  • MR Author ID: 363107
  • Email: lewis@math.kent.edu
  • Hung P. Tong Viet
  • Affiliation: Department of Mathematical Sciences, Kent State University, Kent, Ohio 44242
  • MR Author ID: 772164
  • Email: htongvie@math.kent.edu
  • Received by editor(s): April 12, 2016
  • Received by editor(s) in revised form: June 28, 2016
  • Published electronically: January 26, 2017
  • Communicated by: Pham Huu Tiep
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 1891-1898
  • MSC (2010): Primary 20C20; Secondary 20C15, 20B15
  • DOI: https://doi.org/10.1090/proc/13352
  • MathSciNet review: 3611305