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On $ p$-adic congruence of some class functions on a finite group


Author: Harvey I. Blau
Journal: Proc. Amer. Math. Soc. 92 (1984), 485-486
MSC: Primary 20C15; Secondary 20C11, 20C20
MathSciNet review: 760930
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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 [Enhancements On Off] (What's this?)

  • [1] Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
  • [2] Wilhelm Plesken, Group rings of finite groups over 𝑝-adic integers, Lecture Notes in Mathematics, vol. 1026, Springer-Verlag, Berlin, 1983. MR 724074

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0760930-9
Article copyright: © Copyright 1984 American Mathematical Society