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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 $p$-adic congruence of some class functions on a finite group
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by Harvey I. Blau PDF
Proc. Amer. Math. Soc. 92 (1984), 485-486 Request permission

Abstract:

Certain $p$-adic integer-valued class functions on a finite group are shown to be congruent modulo a suitable power of $p$. This is applied to prove and extend a result of Plesken on central characters of a $p$-block with cyclic defect group.
References
  • Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
  • Wilhelm Plesken, Group rings of finite groups over $p$-adic integers, Lecture Notes in Mathematics, vol. 1026, Springer-Verlag, Berlin, 1983. MR 724074, DOI 10.1007/BFb0071558
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Additional Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 485-486
  • MSC: Primary 20C15; Secondary 20C11, 20C20
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0760930-9
  • MathSciNet review: 760930