Finite groups with some \(SE\)-supplemented subgroups.

DOI10.1155/2013/153691zbMath1331.20027OpenAlexW2089568856WikidataQ58919307 ScholiaQ58919307MaRDI QIDQ895927

Hua Quan Wei, Xuan Long Ma, Jiayi Xia, Guo Zhong, Li-Ying Yang

Publication date: 11 December 2015

Published in: Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/153691

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssupersolvability\(p\)-nilpotency\(SE\)-supplemented subgroupsquasinormally embedded subgoups

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) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Cites Work

• \(SE\)-supplemented subgroups of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• Sufficient conditions for supersolubility of finite groups
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On quasinormal subgroups of finite groups
• ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
• A note on a result of Skiba
• On S-quasinormal and c-normal subgroups of a finite group
• On a Theorem of Frobenius
• On weakly \(s\)-permutable subgroups of finite groups.

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