THE INFLUENCE OF Φ-S-SUPPLEMENTED SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS

DOI10.1142/S0219498812500648zbMath1252.20021OpenAlexW2041184502MaRDI QIDQ2909794

Changwen Li

Publication date: 6 September 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498812500648

zbMATH Keywords

finite groupssubnormal subgroupsnilpotencysupersolvabilityFrattini subgroupsupplemented 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

New criteria for hypercyclically embeddability of normal subgroups of finite groups ⋮ A Note on a Result of Zhang et al.

Cites Work

• The influence of SS-quasinormality of some subgroups on the structure of finite groups.
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Finite groups with some primary subgroups \(ss\)-quasinormally embedded.
• A generalisation of Kramer's theorem and its applications
• MAXIMAL SUBGROUPS OF A SYLOW p-SUBGROUP AND p-NILPOTENCY OF FINITE GROUPS
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
• Normal \(p\)-complements for finite groups

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