On the inductive Alperin-McKay condition for simple groups of type \(\mathsf A\).

DOI10.1016/j.jalgebra.2015.02.011zbMath1331.20015arXiv1403.4708OpenAlexW2085690040MaRDI QIDQ493003

Marc Cabanes, Britta Späth

Publication date: 11 September 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4708

zbMATH Keywords

numbers of irreducible charactersfinite groups of Lie typeMcKay conjectureAlperin-McKay conjecturecharacter correspondencesinductive AM conditionblocks of finite special linear groupsblocks of maximal defect

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Modular representations and characters (20C20) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items

Quasi-isolated blocks and the Alperin–McKay conjecture, On the inductive Alperin-McKay conditions in the maximally split case, On the Alperin-McKay conjecture for simple groups of type A, Finite groups with odd Sylow automizers, A criterion for the inductive Alperin weight condition, On the Alperin–McKay conjecture for 2‐blocks of maximal defect, On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\), Irreducible representations of odd degree, Jordan decomposition for the Alperin-McKay conjecture, Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\)

Cites Work

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• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• Extensions of unipotent characters and the inductive McKay condition.
• Representations of finite special linear groups in non-defining characteristic.
• Generic Sylow theorems for the reductive groups over finite fields
• Block extensions
• On the unipotent \(l\)-blocks of finite reductive groups when \(l\) is bad
• Equivariance and extendibility in finite reductive groups with connected center.
• On blocks of normal subgroups of finite groups.
• On Brauer's height zero conjecture
• A reduction theorem for the McKay conjecture.
• A remark on the Alperin-McKay conjecture.
• A reduction theorem for the blockwise Alperin weight conjecture
• A reduction theorem for the Alperin–McKay conjecture
• Inductive McKay condition in defining characteristic
• Height 0 characters of finite groups of Lie type