On a finite group with restriction on set of conjugacy classes size

DOI10.1007/s40840-019-00843-4OpenAlexW2981311199WikidataQ127072301 ScholiaQ127072301MaRDI QIDQ2186270

Ilya B. Gorshkov

Publication date: 9 June 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00843-4

zbMATH Keywords

conjugacy classesfinite grouparithmetic properties

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45)

Related Items

On \(p\)-index extremal groups

Uses Software

• GAP

Cites Work

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• On Thompson's conjecture for alternating and symmetric groups of degree greater than 1361.
• Abelian Sylow subgroups in a finite group.
• On an extension of a theorem on conjugacy class sizes.
• Prime graph components of finite groups
• Variations on a theorem by Alan Camina on conjugacy class sizes.
• Zum Satz von Sylow
• Nilpotent and abelian Hall subgroups in finite groups
• The {ie210-01}-property in finite simple groups
• Endliche Gruppen I
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group