Conjugacy class lengths of metanilpotent groups

zbMath0879.20011MaRDI QIDQ1356826

Silvio Dolfi, Carlo Casolo

Publication date: 20 August 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__96__121_0

zbMATH Keywords

conjugacy classessoluble groupsfinite groupsfinite metanilpotent groupssupersoluble metabelian groups

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) Asymptotic results on counting functions for algebraic and topological structures (11N45)

Related Items (3)

ON SUB-CLASS SIZES OF FINITE GROUPS ⋮ Orbit sizes, character degrees and Sylow subgroups. ⋮ Blocks of small defect.

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)
• Prime divisors of conjugacy class lengths in finite groups
• A conjecture about character degrees of solvable groups
• Character degrees of simple groups
• Connections between prime divisors of conjugacy classes and prime divisors of \(| G| \)
• Lengths of conjugacy classes of finite solvable groups
• Lengths of conjugacy classes of finite solvable groups. II
• Class covering numbers of finite simple groups
• Arithmetically long orbits of solvable linear groups.
• Finite groups with small conjugacy classes
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• Prime Factors of Character Degrees of Solvable Groups
• Prime Factors of Conjugacy Classes of Finite Solvable Groups

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