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math.RT2015
Refinements of the orthogonality relations for blocks
Benjamin Sambale
For a block B of a finite group G there are well-known orthogonality relations for the generalized decomposition numbers. We refine these relations by expressing the generalized de…
math.RT2015★ 5 cited
Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups
Benjamin Sambale
Let B be a p-block of a finite group G with abelian defect group D such that S\unlhd G, S'=S, G/Z(S)\le\Aut(S) and S/Z(S) is a sporadic simple group. We show that B is isotypic to…