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

摘要

We verify the inductive blockwise Alperin weight (BAW) and the inductiveAlperin-McKay (AM) conditions introduced by the second author for blocks offinite quasisimple groups with cyclic defect groups. Furthermore we establish acriterion that describes conditions under which the inductive AM condition forblocks with abelian defect groups implies the inductive BAW condition for thoseblocks.