On \(p\)-regular \(G\)-conjugacy class sizes.

DOI10.1186/1029-242X-2014-34zbMath1337.20032OpenAlexW2113409404WikidataQ59324371 ScholiaQ59324371MaRDI QIDQ257715

Ruifang Chen, Xu Geng, Xian He Zhao

Publication date: 17 March 2016

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-34

zbMATH Keywords

normal subgroups\(p\)-regular elementsfinite \(p\)-solvable groupsconjugacy 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) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (1)

On the centralizers of the \(p\)-regular elements in a finite group

Cites Work

• On the length of the conjugacy classes of finite groups
• Subgroups which are the union of three conjugate classes
• On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• On Conjugacy Class Sizes of the p′-Elements with Prime Power Order
• On a Graph Related to Conjugacy Classes of Groups
• Certain relations between p-regular class sizes and the p-structure of p-solvable groups
• On p-Regular G-Conjugacy Classes and the p-Structure of Normal Subgroups
• Finite groups in which \(p'\)-classes have \(q'\)-length

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