A new kind of generalized normality in finite groups.

DOI10.1016/J.INDAG.2011.08.002zbMath1242.20020OpenAlexW2044902273MaRDI QIDQ648950

Tao Zhao, Yong Xu, Xianhua Li

Publication date: 29 November 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2011.08.002

zbMATH Keywords

finite groupsformations\(p\)-nilpotent groups\(s\)-quasinormally embedded subgroupsweakly \(s\)-supplemently 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) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Sufficient conditions for supersolubility of finite groups
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• Sylow permutable subnormal subgroups of finite groups
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On c*-normality and its properties
• Finite Groups with Some Maximal Subgroups of Sylow SubgroupsQ-Supplemented
• On Weaklys-permutably Embedded Subgroups of Finite Groups
• Endliche Gruppen I
• THE $c$-SUPPLEMENTED PROPERTY OF FINITE GROUPS
• On weakly \(s\)-permutable subgroups of finite groups.

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