Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \)

DOI10.1016/0021-8693(91)90248-7zbMath0735.20011OpenAlexW1995547986MaRDI QIDQ1178040

Pamela A. Ferguson

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90248-7

zbMATH Keywords

conjugacy classesirreducible charactersFitting subgroupsolvable finite groupprime divisors of conjugacy classes sizes

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 (7)

Finite groups with small conjugacy classes ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Remarks on the length of conjugacy classes of finite groups ⋮ Conjugacy class lengths of metanilpotent groups ⋮ Prime divisors of irreducible character degrees and of conjugacy class sizes in finite groups ⋮ Lengths of conjugacy classes of finite solvable groups ⋮ Prime Factors of Conjugacy Classes of Finite Solvable Groups

Cites Work

• Unnamed Item
• Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. (Finite solvable groups all whose character degrees are prime powers)
• A conjecture about character degrees of solvable groups
• Prime Factors of Character Degrees of Solvable Groups

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