On characterization of a finite group by the set of conjugacy class sizes

DOI10.1142/S0219498822502267MaRDI QIDQ5039770

Ilya B. Gorshkov

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07206

zbMATH Keywords

conjugacy classesfinite group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45)

Related Items (2)

On characterization of a finite group with non-simple socle by the set of conjugacy class sizes ⋮ On \(p\)-index extremal groups

Cites Work

• Unnamed Item
• On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361.
• The set of conjugacy class sizes of a finite group does not determine its solvability.
• Finite simple groups with narrow prime spectrum.
• Thompson's conjecture for finite simple groups of Lie type \(B_n\) and \(C_n\).
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q)
• Thompson’s conjecture for alternating groups
• On Thompson’s conjecture for finite simple groups
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group

This page was built for publication: On characterization of a finite group by the set of conjugacy class sizes