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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
Abstract
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.
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- Copyright © Canadian Mathematical Society 1995
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