Finite groups with some minimal subgroups are ℋC-subgroups

DOI10.1142/S0219498817500621zbMath1481.20061OpenAlexW2316564639MaRDI QIDQ5383857

Xianbiao Wei

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498817500621

zbMATH Keywords

saturated formation\(p\)-nilpotent groupsupersolvable group\(\mathscr{H}C\)-subgroup

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)

Cites Work

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• Finite groups with some \(\mathcal H\)-subgroups.
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• On \(p\)-nilpotence of finite groups.
• Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups.
• Finite groups whose minimal subgroups are normal
• On ℋC-Subgroups and the Structure of Finite Groups
• On Supersolvable Groups and the Nilpotator
• The influence of ℋ-subgroups on the structure of finite groups
• On Two Theorems of Thompson
• On finite solvable groups in which normality is a transitive relation
• On Finite Groups with $\mathscr{H}C$-Subgroups
• Onp-Nilpotence and Supersolvability of Finite Groups
• Endliche Gruppen I

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