On coprime \(G\)-conjugacy class sizes in a normal subgroup.

DOI10.1007/s10114-014-2803-6zbMath1315.20021OpenAlexW2400732131MaRDI QIDQ741242

Hai Peng Qu, Xian He Zhao, Gui-Yun Chen

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-2803-6

zbMATH Keywords

finite groupsFrobenius groupsnormal subgroupsconjugacy 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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (2)

The sub-class sizes of some elements being square free ⋮ On the normal subgroup with minimal \(G\)-conjugacy class sizes

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
• On the largest conjugacy class size in a finite group
• Indices of elements and normal structure of finite groups.
• On the normal subgroup with coprime \(G\)-conjugacy class sizes
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• On a Graph Related to Conjugacy Classes of Groups
• Certain relations between p-regular class sizes and the p-structure of p-solvable groups
• A note on conjugacy class sizes of finite groups.
• Finite groups in which \(p'\)-classes have \(q'\)-length

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