Height-zero characters and normal subgroups in \(p\)-solvable groups.

DOI10.1016/j.jalgebra.2013.10.014zbMath1298.20013OpenAlexW2095427638MaRDI QIDQ397888

Abdellatif Laradji

Publication date: 12 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.10.014

zbMATH Keywords

defect groupsnumbers of characters\(p\)-blocksfinite \(p\)-solvable groupsFong-Reynolds correspondenceirreducible characters of height zero

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Cites Work

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• Vertices for characters of $p$-solvable groups
• A reduction theorem for the Alperin–McKay conjecture
• Induction and Restriction of π-Special Characters
• Defect of characters and local subgroups in p-solvable groups

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