\(S\Phi\)-supplemented subgroups of finite groups.

DOI10.1007/s11253-012-0632-2zbMath1258.20018OpenAlexW2081599508MaRDI QIDQ1933316

Tao Zhao, Xianhua Li

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0632-2

zbMATH Keywords

finite groupsSylow subgroupssubnormal subgroupsformationsFrattini subgroup\(p\)-nilpotencysupplemented subgroupssupersolubility

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 (4)

The influence of SΦ−supplemented subgroups on the structure of finite groups ⋮ New criteria for hypercyclically embeddability of normal subgroups of finite groups ⋮ Generalized Frattini subgroup and supplements of subgroups of groups ⋮ A note on \(S\varphi\)-supplemented subgroups

Cites Work

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• A characterization of the hypercyclically embedded subgroups of finite groups.
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• On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups
• On c*-normality and its properties
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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