On Conjugacy Class Sizes of the p′-Elements with Prime Power Order

DOI10.1142/S1005386709000510zbMath1187.20017MaRDI QIDQ3638713

Xiu Yun Guo, Xian He Zhao

Publication date: 28 October 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1604/S1005386709000510.html

zbMATH Keywords

solvabilityfinite \(p\)-solvable groupsconjugacy class sizes\(p'\)-elements

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

ITÔ’S THEOREM ON GROUPS WITH TWO CLASS SIZES REVISITED ⋮ \(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\) ⋮ The influence of conjugacy class sizes on the structure of finite groups ⋮ On \(p\)-regular \(G\)-conjugacy class sizes.

Cites Work

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• On the length of the conjugacy classes of finite groups
• Indices of elements and normal structure of finite groups.
• Arithmetical conditions on the length of the conjugacy classes of a finite group
• On groups with abelian Sylow 2-subgroups
• On a Graph Related to Conjugacy Classes of Groups
• Sets of $p$-powers as conjugacy class sizes
• Finite groups with two p-regular conjugacy class lengths
• On Finite Groups with Given Conjugate Types I