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arXiv · 1310.5512

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

Shigeo Koshitani·Britta Spaeth
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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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Shigeo Koshitani, Britta Spaeth. 2013-10-21. The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups. https://arxiv.org/abs/1310.5512

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