The McKay conjecture for exceptional groups and odd primes.

DOI10.1007/s00209-008-0340-7zbMath1178.20006OpenAlexW2029869183WikidataQ122984855 ScholiaQ122984855MaRDI QIDQ1006818

Britta Späth

Publication date: 26 March 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0340-7

zbMATH Keywords

numbers of irreducible charactersSylow subgroupsfinite groups of Lie typeMcKay conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (24)

Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\) ⋮ On the inductive McKay condition in the defining characteristic. ⋮ The inductive blockwise Alperin weight condition for \(G_{2}(q)\) and \(^3D_4(q)\) ⋮ Alperin weight conjecture and related developments ⋮ Galois-equivariant McKay bijections for primes dividing \(q - 1\) ⋮ Characters of odd degree ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ The inductive blockwise Alperin weight condition for \(\mathrm{PSL}_n(q)\) with \((n,q - 1)=1\) ⋮ The inductive McKay-Navarro condition for the Suzuki and Ree groups and for groups with non-generic Sylow normalizers ⋮ EXTENSIONS OF CHARACTERS IN TYPE D AND THE INDUCTIVE MCKAY CONDITION, I ⋮ Principal blocks for different primes. II ⋮ Representations of finite groups. Abstracts from the workshop held April 16--21, 2023 ⋮ Equivariance and extendibility in finite reductive groups with connected center. ⋮ The blocks and weights of finite special linear and unitary groups ⋮ Sylow \(d\)-tori of classical groups and the McKay conjecture. I. ⋮ Sylow \(d\)-tori of classical groups and the McKay conjecture. II. ⋮ Height 0 characters of finite groups of Lie type ⋮ Principal blocks with 5 irreducible characters ⋮ The inductive blockwise Alperin weight condition for PSL(3, 4) ⋮ The block graph of a finite group ⋮ Galois automorphisms on Harish-Chandra series and Navarro’s self-normalizing Sylow $2$-subgroup conjecture ⋮ An equivariant bijection between irreducible Brauer characters and weights for \(\mathrm{Sp}(2n,q)\) ⋮ Descent equalities and the inductive McKay condition for types \(\mathsf{B}\) and \(\mathsf{E}\) ⋮ Inductive McKay condition for finite simple groups of type 𝖢

Uses Software

• Magma

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• Die unipotenten charaktere von ²F₄(q²)
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