The strengthened Alperin weight conjecture for \(p\)-solvable groups.

DOI10.1016/j.jalgebra.2013.02.006zbMath1342.20010OpenAlexW2066160194WikidataQ123166147 ScholiaQ123166147MaRDI QIDQ401749

Alexandre Turull

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.02.006

zbMATH Keywords

Clifford theoryrepresentations of finite groupscharacter correspondencesAlperin weight conjectureirreducible \(p\)-Brauer characters

Mathematics Subject Classification ID

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

Related Items (4)

Unnamed Item ⋮ Refinements of Dade's projective conjecture for \(p\)-solvable groups ⋮ Endoisomorphisms and character triple isomorphisms ⋮ Characters, Brauer characters, and local Brauer groups

Cites Work

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• A reduction theorem for the Alperin weight conjecture.
• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Weights, vertices and a correspondence of characters in groups of odd order
• New refinements of the McKay conjecture for arbitrary finite groups
• Weights and vertices for characters of \(\pi\)-separable groups
• Endoisomorphisms yield module and character correspondences.
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• Above the Glauberman correspondence.
• The McKay conjecture and Galois automorphisms.
• Parameterization of Irreducible Characters for p-Solvable Groups
• Vertices of Simple Modules over p -Solvable Groups

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