A refinement of Alperin’s Conjecture for blocks of the endomorphism algebra of the Sylow permutation module
Archiv der Mathematik
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We present a refinement of Alperin’s Conjecture involving the blocks of the endomorphism algebra of the permutation module formed by the cosets of a p-subgroup. We prove the conjecture in two special cases where every weight module has a simple socle. © 2015, Springer International Publishing.