Cliques of Irreducible Representations, Quotient Groups, and Brauer's Theorems on Blocks
Canadian journal of mathematics, Tome 47 (1995) no. 5, pp. 929-945

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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.
DOI : 10.4153/CJM-1995-048-x
Mots-clés : 20C20
Ellers, Harald. Cliques of Irreducible Representations, Quotient Groups, and Brauer's Theorems on Blocks. Canadian journal of mathematics, Tome 47 (1995) no. 5, pp. 929-945. doi: 10.4153/CJM-1995-048-x
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