A reduction theorem for the McKay conjecture.

DOI10.1007/s00222-007-0057-yzbMath1138.20010OpenAlexW2065803743WikidataQ56005225 ScholiaQ56005225MaRDI QIDQ2466352

Gabriel Navarro, Gunter Malle, I. M. Isaacs

Publication date: 14 January 2008

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-007-0057-y

zbMATH Keywords

numbers of irreducible characters finite simple groups Sylow subgroups McKay conjecture Dade conjectures

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of sporadic groups (20C34) Representations of finite groups of Lie type (20C33)

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Abstracts from the workshop held April 16--21, 2023 ⋮ A reduction theorem for the Alperin weight conjecture. ⋮ Equivariance and extendibility in finite reductive groups with connected center. ⋮ A reduction theorem for the Galois–McKay conjecture ⋮ Irreducible representations of odd degree ⋮ The average element order and the number of conjugacy classes of finite groups ⋮ On equivariant bijections relative to the defining characteristic. ⋮ Isotypies for the quasisimple groups with exceptional Schur multiplier ⋮ On Brauer's height zero conjecture ⋮ Prime graphs of finite groups with a small number of triangles. ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ On the inductive Alperin-McKay condition for simple groups of type $\mathsf A$. ⋮ Dade's invariant conjecture for Steinberg's triality groups $^3D_4(2^n)$ in defining characteristic. ⋮ Brauer's height zero conjecture for principal blocks ⋮ McKay bijections for symmetric and alternating groups ⋮ A reduction theorem for Dade's projective conjecture ⋮ Extensions of unipotent characters and the inductive McKay condition. ⋮ Dade's Invariant Conjecture for the Symplectic Group Sp₄(2ⁿ) and the Special Unitary Group SU₄(2²ⁿ) in Defining Characteristic ⋮ Odd character degrees for $\text{Sp}(2n,2)$. ⋮ Sylow $d$-tori of classical groups and the McKay conjecture. I. ⋮ Sylow $d$-tori of classical groups and the McKay conjecture. 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