Finite groups with normally embedded subgroups

DOI10.1515/JGT.2010.042zbMath1196.20022OpenAlexW2033338760MaRDI QIDQ3552308

Wujie Shi, Zhencai Shen, Shi-Rong Li

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.042

zbMATH Keywords

maximal subgroupssupersolvable groups\(p\)-nilpotent groupssupplemented subgroupssupersolubilityS-quasinormal subgroupsS-quasinormally 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) Maximal subgroups (20E28) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

Finite groups with ℋ-subgroups or strongly closed subgroups ⋮ ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS ⋮ S-quasinormality of finite groups. ⋮ Finite Groups with ℋ-Subgroups ⋮ Finite groups with some \(s\)-permutably embedded and weakly \(s\)-permutable subgroups. ⋮ On SS-quasinormal and S-quasinormally embedded subgroups of finite groups. ⋮ On normally embedded subgroups of a finite group

Cites Work

• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
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• 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
• Groups with maximal subgroups of Sylow subgroups normal
• 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
• The embedding of quasinormal subgroups in finite groups
• On quasinormal subgroups of finite groups
• The structure of finite groups in which permutability is a transitive relation
• On maximal subgroups of Sylow subgroups of inite groups
• OnSS-Quasinormal Subgroups of Finite Groups
• On \(S\)-quasinormally embedded subgroups of finite groups

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