S-quasinormality of finite groups.

DOI10.1007/s11464-010-0010-zzbMath1200.20014OpenAlexW1983272416MaRDI QIDQ977666

Wujie Shi, Zhencai Shen, Qingliang Zhang

Publication date: 23 June 2010

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-010-0010-z

zbMATH Keywords

maximal subgroupsfinite \(p\)-groupsformationsquasinormal subgroupsfinite nilpotent groupsfinite supersolvable groups

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items

On the \(SS\)-quasinormality of the maximal subgroups of a Sylow subgroup in its normalizer. ⋮ On \textit{NH}-embedded and \(S\)-quasinormally embedded subgroups of finite groups ⋮ Finite groups with \(S\)-quasinormally embedded or \(SS\)-quasinormal subgroups. ⋮ Finite groups with some \(s\)-permutably embedded and weakly \(s\)-permutable subgroups. ⋮ On SS-quasinormal and S-quasinormally embedded subgroups of finite groups.

Cites Work

• Unnamed Item
• Unnamed Item
• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• On \(\pi\)-quasinormally embedded subgroups of finite group.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On semi cover-avoiding subgroups of finite groups.
• The influence of SS-quasinormality of some subgroups on the structure of finite groups.
• Two sufficient conditions for supersolvability of finite groups
• Subgroups permutable with all Sylow subgroups
• Sufficient conditions for supersolubility of finite groups
• On minimal subgroups of finite groups
• Permutable products of supersoluble groups.
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Nilpotent quotient groups
• \(X\)-semipermutable subgroups of finite groups.
• On quasinormal subgroups of finite groups
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• Finite groups with normally embedded subgroups
• On maximal subgroups of Sylow subgroups of inite groups
• OnSS-Quasinormal Subgroups of Finite Groups
• Normal \(p\)-complements for finite groups
• On \(S\)-quasinormally embedded subgroups of finite groups