On the centralizers of non-central \(\pi^\prime\)-elements of a finite group

DOI10.1007/s00009-024-02616-1zbMATH Open1543.20027MaRDI QIDQ6566714

Changguo Shao, Qinhui Jiang

Publication date: 3 July 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupscentralizersFrobenius groupprime graph

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28)

Cites Work

• Title not available (Why is that?)
• Prime graph components of finite groups
• The theory of finite groups. An introduction.
• On the centralizers of the \(p\)-regular elements in a finite group
• Groups in which the centralizer of any non-central primary element is maximal
• Prime powers as conjugacy class lengths of π-elements
• On the p -regular G-conjugacy classes with sizes 1 or minimal
• Endliche Gruppen I
• On Finite Groups with Given Conjugate Types I

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