On the normal subgroup with exactly two \(G\)-conjugacy class sizes.

DOI10.1007/s11401-008-0088-8zbMath1213.20031OpenAlexW2067507634MaRDI QIDQ1044827

Xian He Zhao, Xiu Yun Guo

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-008-0088-8

zbMATH Keywords

finite groupsSylow subgroupsnilpotenceconjugacy class sizesnumbers of conjugates

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (6)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY ⋮ On the p -regular G-conjugacy classes with sizes 1 or minimal ⋮ On the conjugate type vector and the structure of a normal subgroup ⋮ On the normal subgroup with coprime \(G\)-conjugacy class sizes ⋮ Nilpotency of normal subgroups having two 𝐺-class sizes ⋮ Conjugacy classes contained in normal subgroups: an overview

Cites Work

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• On the length of the conjugacy classes of finite groups
• Character theory of finite groups
• Subgroups which are the union of three conjugate classes
• Finite groups with many conjugate elements
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• Implications of conjugacy class size
• Finite groups with two p-regular conjugacy class lengths
• Group Elements of Prime Power Index
• On Finite Groups with Given Conjugate Types I

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