The c-Normal Embedding Property in Finite Groups (I)

DOI10.1142/S1005386710000477zbMath1208.20018MaRDI QIDQ3578445

Hua Quan Wei, Li-Ying Yang, Yan Ming Wang

Publication date: 20 July 2010

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/17/1703/S1005386710000477.html

zbMATH Keywords

finite groupsmaximal subgroupsnilpotent groupsSylow subgroupsformationsminimal subgroups\(p\)-nilpotent groupssupersoluble groupsc-normally 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

On \(c^\sharp\)-normal subgroups in finite groups

Cites Work

• Two sufficient conditions for supersolvability of finite groups
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• M-groups and 2-groups
• Contributions to the theory of groups of finite order
• A generalisation of Kramer's theorem and its applications
• A note on minimal subgroups of finite groups
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• C-Supplemented subgroups of finite groups
• On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups
• A note on \(p\)-nilpotence of finite groups

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