Finite groups with three conjugacy class sizes of some elements.

DOI10.1007/S12044-012-0089-0zbMath1255.20028OpenAlexW1985495053MaRDI QIDQ692526

Qingjun Kong

Publication date: 6 December 2012

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-012-0089-0

zbMATH Keywords

finite groups\(p\)-solvable groups\(p\)-nilpotent groupsconjugacy class sizes

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)

Cites Work

• On the length of the conjugacy classes of finite groups
• Character theory of finite groups
• Notes on the length of conjugacy classes of finite groups.
• Indices of elements and normal structure of finite groups.
• Finite groups with exactly two class lengths of elements of prime power order
• On finite groups with given conjugate types. II
• Group Elements of Prime Power Index
• On Finite Groups with Given Conjugate Types I

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