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

DOI10.1016/J.JALGEBRA.2010.02.008zbMath1260.20015OpenAlexW4213235167WikidataQ123361883 ScholiaQ123361883MaRDI QIDQ974388

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.2010.02.008

zbMATH Keywords

numbers of irreducible charactersSylow subgroupsfinite groups of Lie typefinite classical groupsMcKay conjecturefinite reductive groupsSylow 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)

Related Items (15)

Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\) ⋮ Characters and Sylow 2-subgroups of maximal class revisited ⋮ Galois-equivariant McKay bijections for primes dividing \(q - 1\) ⋮ Characters of odd degree ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ Maximal 2-local subgroups of \(E_7(q)\). ⋮ EXTENSIONS OF CHARACTERS IN TYPE D AND THE INDUCTIVE MCKAY CONDITION, I ⋮ Equivariance and extendibility in finite reductive groups with connected center. ⋮ Irreducible representations of odd degree ⋮ Odd character degrees for \(\text{Sp}(2n,2)\). ⋮ Sylow \(d\)-tori of classical groups and the McKay conjecture. II. ⋮ The block graph of a finite group ⋮ Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture ⋮ Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\) ⋮ Inductive McKay condition for finite simple groups of type 𝖢

Cites Work

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• The McKay conjecture for exceptional groups and odd primes.
• Generic Sylow theorems for the reductive groups over finite fields
• Variations on McKay's character degree conjecture
• Character correspondences in finite general linear, unitary and symmetric groups
• Regular elements of finite reflection groups
• A reduction theorem for the McKay conjecture.
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• McKay numbers and heights of characters.
• On a conjecture of Alperin and McKay.
• Groupes des tresses et éléments rÉguliers
• Height 0 characters of finite groups of Lie type
• The Inductive McKay Condition for Simple Groups Not of Lie Type
• Linear algebraic groups.

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