On the normal subgroup with coprime \(G\)-conjugacy class sizes

DOI10.1007/s12044-011-0047-2zbMath1257.20033OpenAlexW1983800553MaRDI QIDQ1930299

Jiaoyun Shi, Xian He Zhao, Gui-Yun Chen

Publication date: 10 January 2013

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/s12044-011-0047-2

zbMATH Keywords

finite groupsFrobenius groupsnormal subgroupsconjugacy 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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items

On coprime \(G\)-conjugacy class sizes in a normal subgroup. ⋮ The divisibility graph for F-groups

Cites Work

• On the length of the conjugacy classes of finite groups
• On the normal subgroup with exactly two \(G\)-conjugacy class sizes.
• Subgroups which are the union of three conjugate classes
• Finite groups with many conjugate elements
• Indices of elements and normal structure of finite groups.
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• Implications of conjugacy class size
• Isometries between matrix algebras
• A note on conjugacy class sizes of finite groups.