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Cliques of Irreducible Representations, Quotient Groups, and Brauer's Theorems on Blocks

Published online by Cambridge University Press:  20 November 2018

Harald Ellers
Harald Ellers*
Affiliation:
Department of Mathematics, Northern Illinois University, DeKalb, Illinois 60115, U.S.A. e-mail: ellers@math.niu.ed
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Abstract

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Assume k is an algebraically closed field of characteristic p and G is a finite group. If P is a p-subgroup of G such that G = PCG(P), and if H is a normal subgroup of G with P ≤ H, then the number of H-cliques of irreducible k[G]-modules is the same as the number of H/P-cliques of irreducible k[G/P]-modules.

Keywords

20C20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 929 - 945
Copyright
Copyright © Canadian Mathematical Society 1995

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