The inductive Alperin–McKay and Blockwise Alperin Weight conditions for blocks with cyclic defect groups and odd primes

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 whenever the prime is odd. Furthermore, we establish a criterion that describes conditions under...

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Bibliographic Details
Published inJournal of group theory Vol. 19; no. 5; pp. 777 - 813
Main Authors Koshitani, Shigeo, Späth, Britta
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.09.2016
Walter de Gruyter GmbH
Subjects
Defects
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Summary: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 whenever the prime is odd. 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.
ISSN:1433-5883
1435-4446
DOI:10.1515/jgth-2016-0006