New refinements of the McKay conjecture for arbitrary finite groups
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Publication:1852710
DOI10.2307/3597192zbMath1018.20007arXivmath/0411171OpenAlexW2111247541WikidataQ122904601 ScholiaQ122904601MaRDI QIDQ1852710
Publication date: 11 June 2003
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411171
Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (36)
Dade's Invariant Conjecture for the Ree Groups2F4(q2) in Defining Characteristic ⋮ Equivariant character correspondences and inductive McKay condition for type \(\mathsf{A}\) ⋮ Actions and characters in blocks. ⋮ Uno's invariant conjecture for Chevalley groups \(G_2(q)\) in nondefining characteristics. ⋮ The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes ⋮ Conjectures on the character degrees of the Harada-Norton simple group \(HN\). ⋮ The Alperin Weight Conjecture and Uno's Conjecture for the Baby Monster B, p Odd ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ Height-zero characters and normal subgroups in \(p\)-solvable groups. ⋮ The strengthened Alperin weight conjecture for \(p\)-solvable groups. ⋮ The Isaacs-Navarro conjecture for covering groups of the symmetric and alternating groups in odd characteristic. ⋮ Survey on perfect isometries ⋮ The equivalence of some conjectures of Dade and Robinson. ⋮ Strengthening the McKay conjecture to include local fields and local Schur indices. ⋮ Tilting equivalences: from hereditary algebras to symmetric groups. ⋮ Uno's invariant conjecture for Steinberg's triality groups in defining characteristic. ⋮ Dade's invariant conjecture for Steinberg's triality groups \(^3D_4(2^n)\) in defining characteristic. ⋮ A reduction theorem for the McKay conjecture. ⋮ Refinements of Dade's projective conjecture for \(p\)-solvable groups ⋮ Some refinements of Dade's projective conjecture. ⋮ Perfect generalized characters inducing the Alperin-McKay conjecture. ⋮ Above the Glauberman correspondence. ⋮ Character correspondences for symmetric groups and wreath products ⋮ DADE'S INVARIANT CONJECTURE FOR THE GENERAL UNITARY GROUP GU4(q2) IN DEFINING CHARACTERISTIC ⋮ Modular representation theory of blocks with trivial intersection defect groups. ⋮ Uno's invariant conjecture for the general linear and unitary groups in nondefining characteris\-tics. ⋮ Groups whose real irreducible characters have degrees coprime to \(p\). ⋮ Uno's Invariant Conjecture for the Finite Symplectic Group Sp4(q) in the Defining Characteristic ⋮ Isometries and extra special Sylow groups of order \(p^3\). ⋮ The Alperin and Uno Conjectures for the Fischer Simple Group Fi22 ⋮ Correspondences Between 2-Brauer Characters of Solvable Groups ⋮ The Isaacs-Navarro conjecture for the alternating groups. ⋮ The Alperin Weight Conjecture and Dade's Conjecture for the Simple Group Fi′24 ⋮ Character triple conjecture for \(p\)-solvable groups ⋮ Character correspondences in solvable groups. ⋮ The Isaacs-Navarro conjecture for symmetric groups.
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