On -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
Abstract: Certain -adic integer-valued class functions on a finite group are shown to be congruent modulo a suitable power of . This is applied to prove and extend a result of Plesken on central characters of a -block with cyclic defect group.
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-  Wilhelm Plesken, Group rings of finite groups over 𝑝-adic integers, Lecture Notes in Mathematics, vol. 1026, Springer-Verlag, Berlin, 1983. MR 724074