Clifford theory of characters in induced blocks

DOI10.1090/proc/12431zbMath1333.20005arXiv1310.5484OpenAlexW1777369897MaRDI QIDQ5264153

Britta Späth, Shigeo Koshitani

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5484

zbMATH Keywords

finite groupsClifford theorydefect groupsDade groupsnormal subgroupsirreducible Brauer charactersBrauer correspondenceirreducible constituentscharacter correspondencesinduced blockscharacter extensionsHarris-Knörr theorem

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items (12)

Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 ⋮ The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ A criterion for the inductive Alperin weight condition ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\) ⋮ The blocks and weights of finite special linear and unitary groups ⋮ A reduction theorem for Dade's projective conjecture ⋮ The inductive Alperin-McKay condition for 2-blocks with cyclic defect groups. ⋮ Jordan decomposition for the Alperin-McKay conjecture ⋮ On the inductive blockwise Alperin weight condition for classical groups

Cites Work

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• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• Extending group modules in a relatively prime case
• Block extensions
• On blocks of normal subgroups of finite groups.
• On Brauer's height zero conjecture
• A reduction theorem for the blockwise Alperin weight conjecture
• A reduction theorem for the Alperin–McKay conjecture
• Morita Equivalent Blocks in Non-Normal Subgroups and p -Radical Blocks in Finite Groups
• Brauer correspondence for covering blocks of finite groups

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