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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The Schur index and roots of unity
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by G. J. Janusz
Proc. Amer. Math. Soc. 35 (1972), 387-388
DOI: https://doi.org/10.1090/S0002-9939-1972-0302748-9

Abstract:

A short proof is given for the main step in the proof of the theorem of Benard and Schacher which asserts that if the Schur index of a character $\chi$ of a finite group is m then the mth roots of unity lie in the field of values $Q(\chi )$.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 387-388
  • MSC: Primary 20C05; Secondary 16A16
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0302748-9
  • MathSciNet review: 0302748