Counting characters in blocks, II.

DOI10.1515/crll.1994.448.97zbMath0790.20020OpenAlexW35797117MaRDI QIDQ4281982

Everett C. Dade

Publication date: 27 June 1994

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002211424

zbMATH Keywords

weightsClifford theoryirreducible charactersprojective representationsAlperin-McKay conjecturecharacteristic zeroAlperin weight conjectureweight conjectureblock theoryBrauer height conjecturetwisted group algebras of finite groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Projective representations and multipliers (20C25)

Related Items (37)

Dade's Invariant Conjecture for the Ree Groups²F₄(q²) in Defining Characteristic ⋮ Cancellation theorems related to conjectures of Alperin and Dade ⋮ Actions and characters in blocks. ⋮ Weight conjectures for ordinary characters. ⋮ Alperin weight conjecture and related developments ⋮ Verification of Dade's conjecture for Janko group \(J_ 3\) ⋮ Counting characters in blocks of \(M_{22}\) ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Characters of relative \(p^\prime\)-degree over normal subgroups ⋮ Unnamed Item ⋮ Counting conjectures and \(e\)-local structures in finite reductive groups ⋮ Projective Brauer Theory ⋮ A reduction theorem for the Alperin weight conjecture. ⋮ On Brauer's height zero conjecture. ⋮ Dade's ordinary conjecture implies the Alperin-McKay conjecture ⋮ A new approach to Glauberman's correspondence. ⋮ The equivalence of some conjectures of Dade and Robinson. ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ Dade's inductive conjecture for the Ree groups of type \(G_2\) in the defining characteristic ⋮ 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. ⋮ Clifford theory and Galois theory. I. ⋮ A reduction theorem for Dade's projective conjecture ⋮ Character correspondences for symmetric groups and wreath products ⋮ Dade's Invariant Conjecture for the Symplectic Group Sp₄(2ⁿ) and the Special Unitary Group SU₄(2²ⁿ) in Defining Characteristic ⋮ On finite groups of \(p\)-local rank one and conjectures of Dade and Robinson ⋮ Modular representation theory of blocks with trivial intersection defect groups. ⋮ \(p\)-blocks relative to a character of a normal subgroup ⋮ Uno's Invariant Conjecture for the Finite Symplectic Group Sp₄(q) in the Defining Characteristic ⋮ Defects of irreducible characters of \(p\)-soluble groups ⋮ Character triple conjecture for \(p\)-solvable groups ⋮ On a minimal counterexample to the Alperin-McKay conjecture. ⋮ Dade's projective conjecture for \(p\)-solvable groups ⋮ On a minimal counterexample to Dade's projective conjecture

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