Derived length and conjugacy class sizes.

DOI10.1016/j.aim.2004.11.002zbMath1090.20008OpenAlexW2081368125MaRDI QIDQ2576996

Thomas Michael Keller

Publication date: 29 December 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.11.002

zbMATH Keywords

finite solvable groupsFitting heightsderived lengthsconjugacy class sizesFitting subgroup

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (4)

Abelian quotients and orbit sizes of solvable linear groups ⋮ THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ Enumerating classes and characters of 𝑝-groups ⋮ Two bounds for the nilpotence class of an algebra

Cites Work

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• Character theory of finite groups
• Orbit sizes and character degrees
• On finite \(p\)-groups which have only two conjugacy lengths
• On the number of conjugacy class sizes and character degrees in finite $p$-groups
• Orbit sizes and character degrees, III
• Orbit sizes and character degrees, II
• Endliche Gruppen I
• The Number of Generators of a Linear p-Group

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