Finite groups with NE-subgroups

DOI10.1515/JGT.2006.003zbMath1106.20012OpenAlexW1991230428MaRDI QIDQ5480156

Yang Ming Li

Publication date: 26 July 2006

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

Full work available at URL: https://doi.org/10.1515/jgt.2006.003

zbMATH Keywords

\(p\)-subgroupsfinite soluble groupsSylow subgroupstransitive normalitynilpotencysolubilitysupersolubilityNE-subgroups\(T\)-groupsPE-subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Simple groups: alternating groups and groups of Lie type (20D06) Subnormal subgroups of abstract finite groups (20D35)

Related Items (12)

On the influence of transitively normal subgroups on the structure of some infinite groups. ⋮ Finite groups all of whose small subgroups are pronormal ⋮ On a class of finite soluble groups ⋮ Notes on NE-subgroups of finite groups. ⋮ Finite groups all of whose second maximal subgroups are \(\mathcal H_p\)-groups. ⋮ On the strongly closed subgroups or \(\mathcal H\)-subgroups of finite groups. ⋮ Finite groups all of whose minimal subgroups are \(NE^*\)-subgroups. ⋮ Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties ⋮ Finite groups with some \(\mathcal H\)-subgroups. ⋮ Normal Restriction in Finite Groups ⋮ The influence of arrangement of subgroups on the group structure ⋮ On self-normalizing subgroups of finite groups

Cites Work

• On \(\pi\)-quasinormally embedded subgroups of finite group.
• On minimal non-PE-groups
• On Supersolvable Groups and the Nilpotator
• Gruppen, in denen das Normalteilersein transitiv ist.
• On minimal subgroups of finite groups
• The influence of minimal subgroups on the structure of a finite group
• On finite solvable groups in which normality is a transitive relation
• A Note on Finite Groups in Which Normality is Transitive
• Finite Groups with Pro-Normal Subgroups

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