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

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.

References in corpus (1)

• $S{p}_6(2^a)$ is "Good" for the McKay, Alperin Weight, and Related Local-Global Conjectures

Cited by in corpus (3)

• Clifford theory of characters in induced blocks
• On the inductive Alperin-McKay condition for simple groups of type A
• Finite Groups with Odd Sylow Normalizers