Relative \(\pi\)-blocks of \(\pi\)-separable groups

DOI10.1006/jabr.1999.7945zbMath0938.20005OpenAlexW4213208728MaRDI QIDQ1818861

Abdellatif Laradji

Publication date: 18 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7945

zbMATH Keywords

defect groupsirreducible characters\(\pi\)-blocks\(\pi\)-separable groupsFong reduction\(\pi'\)-special charactersrelative \(\pi\)-blocksrelative character heights

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items

On normal subgroups and height zero Brauer characters in a \(p\)-solvable group. ⋮ On relative height zero Brauer characters. ⋮ On the Harris-Knörr correspondence in \(p\)-solvable groups. ⋮ On height zero characters of \(p\)-solvable groups ⋮ Relative \(\pi\)-blocks of \(\pi\)-separable groups. II ⋮ Solution of Brauer's \(k(B)\)-conjecture for \(\pi\)-blocks of \(\pi\)-separable groups ⋮ Relative partial characters and relative blocks of \(p\)-solvable groups.

Cites Work

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• Characters of \(\pi\)-separable groups
• Fong characters in \(\pi\)-separable groups
• pi-blocks of pi-separable groups. I
• Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
• A characteristic class of characters of finite \(\pi\)-separable groups
• pi-blocks of pi-separable groups. III
• pi-blocks of pi-separable groups. II

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