Inductive McKay condition for finite simple groups of type 𝖢

DOI10.1090/ert/497zbMath1475.20022arXiv1612.03741OpenAlexW2565408413MaRDI QIDQ5269104

Marc Cabanes, Britta Späth

Publication date: 15 June 2017

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03741

zbMATH Keywords

symplectic groupsMcKay's conjectureextended Weyl groupsaction of automorphisms on characters

Mathematics Subject Classification ID

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

Related Items (16)

Alperin weight conjecture and related developments ⋮ Action of automorphisms on irreducible characters of symplectic groups ⋮ Jordan decomposition for weights and the blockwise Alperin weight conjecture ⋮ On the inductive Alperin-McKay conditions in the maximally split case ⋮ THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE AND THE PRIME ⋮ Cuspidal characters and automorphisms ⋮ On the Alperin-McKay conjecture for simple groups of type A ⋮ EXTENSIONS OF CHARACTERS IN TYPE D AND THE INDUCTIVE MCKAY CONDITION, I ⋮ The McKay conjecture and central isomorphic character triples ⋮ Counting conjectures and \(e\)-local structures in finite reductive groups ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ Galois automorphisms and classical groups ⋮ The inductive blockwise Alperin weight condition for \(\text{PSp}_{2n}(q)\) and odd primes ⋮ On the inductive blockwise Alperin weight condition for classical groups ⋮ 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 \(\mathsf{E}\)

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