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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 a question of Feit
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by Pamela A. Ferguson and Alexandre Turull PDF
Proc. Amer. Math. Soc. 97 (1986), 21-22 Request permission

Abstract:

The following theorem is proved: Assume $\chi$ is an irreducible complex character of the finite group $G$ and $G$ is $\pi$-solvable where $\pi$ is the set of prime divisors of $\chi \left ( 1 \right )$. Then $f\left ( \chi \right )$ contains an element of order $f\left ( \chi \right )$.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 21-22
  • MSC: Primary 20C15
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0831379-7
  • MathSciNet review: 831379