On $p$-adic congruence of some class functions on a finite group
HTML articles powered by AMS MathViewer
- by Harvey I. Blau
- Proc. Amer. Math. Soc. 92 (1984), 485-486
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760930-9
- PDF | 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
Bibliographic 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