Actions and characters in blocks.

DOI10.1016/j.jalgebra.2004.01.022zbMath1075.20005OpenAlexW2037785166MaRDI QIDQ1883022

Gabriel Navarro

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.022

zbMATH Keywords

defect groupsblocksBrauer correspondentscomplex irreducible charactersAlperin-McKay conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items (11)

Bounds on the number of lifts of a Brauer character in a \(p\)-solvable group. ⋮ Character correspondences in blocks with normal defect groups. ⋮ Navarro vertices and lifts in solvable groups ⋮ A reduction theorem for the Alperin weight conjecture. ⋮ Defect zero characters and relative defect zero characters. ⋮ Simple proofs of some theorems in block theory of finite groups. ⋮ On Brauer's height zero conjecture ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ The number of lifts of a Brauer character with a normal vertex. ⋮ The Glauberman correspondent of a nilpotent block of a finite group. ⋮ Lifts and vertex pairs in solvable groups

Cites Work

• Unnamed Item
• Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
• Character correspondences induced by subgroups of operator groups
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Squares of characters with few irreducible constituents in finite groups
• New refinements of the McKay conjecture for arbitrary finite groups
• Zeros of characters of finite groups
• The McKay conjecture and Galois automorphisms.
• Brauer Characters Relative to a Normal Subgroup
• Characters of Relatively Projective Modules II
• Counting characters in blocks, II.
• Some Open Problems on Coprime Action and Character Correspondences
• Blocks and Normal Subgroups of Finite Groups

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