A conjecture about character degrees of solvable groups

DOI10.1016/0021-8693(91)90142-UzbMath0736.20006WikidataQ123221238 ScholiaQ123221238MaRDI QIDQ1176648

David Gluck

Publication date: 25 June 1992

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

zbMATH Keywords

irreducible character degreesfinite solvable group\(\rho\)-\(\sigma\) conjecturenilpotent by metabelian group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (11)

Finite groups with small conjugacy classes ⋮ Conjugacy class lengths of metanilpotent groups ⋮ Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups ⋮ On covering number of groups with trivial Fitting subgroup ⋮ Prime divisors of irreducible character degrees. ⋮ Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \) ⋮ The co-degrees of irreducible characters ⋮ Lengths of conjugacy classes of finite solvable groups ⋮ Prime Factors of Conjugacy Classes of Finite Solvable Groups ⋮ Bounding Fitting Heights of Two Classes of Character Degree Graphs ⋮ On Huppert's rho-sigma conjecture

Cites Work

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• Defect groups and character heights in blocks of solvable groups. II
• Degree-problems. I: Squarefree character degrees
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups
• Prime Factors of Character Degrees of Solvable Groups
• Endliche Gruppen I

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