Sylow \(d\)-tori of classical groups and the McKay conjecture. II.

DOI10.1016/j.jalgebra.2010.02.007zbMath1260.20016OpenAlexW2080367920WikidataQ123010725 ScholiaQ123010725MaRDI QIDQ974389

Britta Späth

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.02.007

zbMATH Keywords

numbers of irreducible charactersSylow subgroupsfinite groups of Lie typefinite classical groupsMcKay conjecturefinite reductive groupsextensions of charactersSylow tori

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

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Cites Work

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• Irreducible characters of \(p\)-solvable groups
• Generic Sylow theorems for the reductive groups over finite fields
• Regular elements of finite reflection groups
• A reduction theorem for the McKay conjecture.
• Height 0 characters of finite groups of Lie type
• The Inductive McKay Condition for Simple Groups Not of Lie Type
• Linear algebraic groups.