The structure of finite groups with three class sizes

DOI10.1515/JGT.2008.095zbMath1183.20033OpenAlexW2078892095MaRDI QIDQ3393370

María José Felipe, Antonio Beltrán Felip

Publication date: 20 August 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2008.095

zbMATH Keywords

finite groupsconjugacy class sizesgroups of conjugate rank 2

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (2)

Structure of \(p\)-complements in groups with three \(p\)-regular class sizes. ⋮ An extension of a theorem of Alan Camina on conjugacy class sizes.

Cites Work

• On finite \(p\)-groups which have only two conjugacy lengths
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Implications of conjugacy class size
• Finite groups with two p-regular conjugacy class lengths
• Prime powers as conjugacy class lengths of π-elements
• Half-Transitive Automorphism Groups
• Arithmetical Conditions on the Conjugacy Class Numbers of a Finite Group

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