On weakly \(s\)-permutable subgroups of finite groups.

DOI10.1007/s00574-010-0011-2zbMath1221.20014OpenAlexW2032000094MaRDI QIDQ5894192

Long Miao

Publication date: 25 March 2011

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-010-0011-2

zbMATH Keywords

finite groupssubnormal subgroupsquasinormal subgroupsnilpotencysupersolvability\(p\)-supersolvable groupsprimary subgroupsweakly \(s\)-permutable 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) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (15)

A note on \(p\)-nilpotency of finite groups. ⋮ Finite groups with weakly \(\sigma\)-permutable subgroups ⋮ On Weakly s-Semipermutable Subgroups of Finite Groups ⋮ The influence of weakly \(\sigma \)-permutably embedded subgroups on the structure of finite groups ⋮ Nearly s-embedded subgroups and the p-nilpotency of finite groups ⋮ On nearly \(SS\)-embedded subgroups of finite groups. ⋮ Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability. ⋮ New criteria of supersolvability of finite groups ⋮ Finite groups with given weakly $\tau_{\sigma}$-quasinormal subgroups ⋮ On \(ss\)-quasinormal and weakly \(s\)-supplemented subgroups of finite groups. ⋮ Finite groups with weakly m-σ-permutable subgroups ⋮ Unnamed Item ⋮ Finite groups with some \(s\)-permutably embedded and weakly \(s\)-permutable subgroups. ⋮ Finite \(p\)-supersoluble groups with some \(E\)-\(S\)-supplemented subgroups. ⋮ On weakly σ-semipermutable subgroups of finite groups

Cites Work

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• Two sufficient conditions for supersolvability of finite groups
• Finite soluble groups
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• On \(p\)-nilpotency of finite groups.
• Finite Groups with Some Maximal Subgroups of Sylow SubgroupsQ-Supplemented
• Conjugacy of Odd order Hall Subgroups
• FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED
• On weakly \(s\)-permutable subgroups of finite groups.
• Normal \(p\)-complements for finite groups

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