Prime Factors of Conjugacy Classes of Finite Solvable Groups

DOI10.2307/2048515zbMath0743.20011OpenAlexW4255841955MaRDI QIDQ3974478

Pamela A. Ferguson

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048515

zbMATH Keywords

finite solvable groupsconjugacy classnumber of primes

Mathematics Subject Classification ID

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 (3)

Conjugacy class lengths of metanilpotent groups ⋮ The co-degrees of irreducible characters ⋮ On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups

Cites Work

• Unnamed Item
• On the length of the conjugacy classes of finite groups
• 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
• Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \)

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