Weakly s-supplementally embedded minimal subgroups of finite groups

DOI10.1017/S0013091509001667zbMath1234.20022OpenAlexW2329332781MaRDI QIDQ3094678

Xianhua Li, Tao Zhao, Yong Xu

Publication date: 25 October 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091509001667

zbMATH Keywords

finite groupsnilpotent groupsSylow subgroupssubnormal subgroupssaturated formationssupersolvable groupsweakly \(s\)-permutable subgroupsweakly \(s\)-supplementally embedded subgroups

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) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

On Π-Supplemented Subgroups of a Finite Group ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

Cites Work

• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
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• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Minimal nicht überauflösbare, endliche Gruppen
• Finite groups whose minimal subgroups are normal
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• C-Supplemented subgroups of finite groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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