The set of conjugacy class sizes of a finite group does not determine its solvability.

DOI10.1016/J.JALGEBRA.2014.04.012zbMath1298.20042OpenAlexW2012708352MaRDI QIDQ403335

Gabriel Navarro

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.04.012

zbMATH Keywords

finite groupssolvabilityconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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 (4)

On characterization of a finite group by the set of conjugacy class sizes ⋮ On \(p\)-index extremal groups ⋮ Finite groups with the same conjugacy class sizes as a finite simple group ⋮ On Thompson’s conjecture for finite simple groups

Uses Software

• Unnamed Item

Cites Work

• Recognising nilpotent groups.
• Nilpotent and perfect groups with the same set of character degrees
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• A Criterion for a Group to be Nilpotent

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