On the p -regular G-conjugacy classes with sizes 1 or minimal

DOI10.2989/16073606.2020.1848939OpenAlexW3108905730MaRDI QIDQ5065555

Ruifang Chen, Qin Huang, Xian He Zhao, Yan Yan Zhou

Publication date: 22 March 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1848939

zbMATH Keywords

finite groupsnormal subgroups\(p\)-regular elementsconjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Maximal subgroups (20E28)

Cites Work

• Abelian Sylow subgroups in a finite group.
• \(p\)-divisibility of conjugacy class sizes and normal \(p\)-complements.
• On the conjugacy class sizes of prime power order \(\pi\)-elements.
• On the normal subgroup with exactly two \(G\)-conjugacy class sizes.
• On the diameter of a graph related to \(p\)-regular conjugacy classes of finite groups
• Conjugacy class sizes of elements of prime-power order of finite groups
• Burnside's \(p^ \alpha\)-lemma
• On p-Regular G-Conjugacy Classes and the p-Structure of Normal Subgroups
• On Finite Groups with Given Conjugate Types I
• Finite groups in which \(p'\)-classes have \(q'\)-length