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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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Quaternion constituents of group algebras
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by Mark Benard PDF
Proc. Amer. Math. Soc. 30 (1971), 217-219 Request permission

Abstract:

In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
References
  • Richard Brauer, Representations of finite groups, Lectures on Modern Mathematics, Vol. I, Wiley, New York, 1963, pp. 133–175. MR 0178056
  • Walter Feit, Characters of finite groups, W. A. Benjamin, Inc., New York-Amsterdam, 1967. MR 0219636
  • —, Representations of finite groups, Yale Lecture Notes, New Haven, Conn., 1969. K. Kronstein, Representations over q-adic and q-modular fields, J. Algebra (to appear).
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 30 (1971), 217-219
  • MSC: Primary 20.80
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0280609-0
  • MathSciNet review: 0280609