Finite groups in which the Sylowizers of each non-trivial primary subgroups are conjugate

DOI10.1016/j.bulsci.2020.102876zbMath1506.20045OpenAlexW3033215980MaRDI QIDQ785433

Xianhua Li, Donglin Lei

Publication date: 6 August 2020

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102876

zbMATH Keywords

conjugacysolvable groupfinite simple groupchief factorSylowizer

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Related Items (1)

The indices of the \(p\)-Sylowizers and the \(p\)-supersolvability of finite groups

Cites Work

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• On Sylowizers in finite \(p\)-soluble groups.
• Subgroups of prime power index in a simple group
• New criteria for the solvability of finite groups
• On \(p\)-complements of sylowizers
• The permutability of \(p\)-Sylowizers of some \(p\)-subgroups in finite groups
• Sylowizers
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• The Finite Simple Groups
• The local structure of finite groups of characteristic 2 type
• Maximal subgroups of exceptional algebraic groups
• On Ree's Series of Simple Groups
• Endliche Gruppen I
• Sylowizers in Locally Finite Groups

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