The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups

preprint2013arXivOpen access

Abstract

We verify the inductive blockwise Alperin weight (BAW) and the inductive Alperin-McKay (AM) conditions introduced by the second author for blocks of finite quasisimple groups with cyclic defect groups. Furthermore we establish a criterion that describes conditions under which the inductive AM condition for blocks with abelian defect groups implies the inductive BAW condition for those blocks.

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