Weakly normal subgroups of finite groups.

DOI10.1007/s13226-010-0043-8zbMath1222.20015OpenAlexW2091067598MaRDI QIDQ550687

Xianhua Li, Tao Zhao

Publication date: 13 July 2011

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0043-8

zbMATH Keywords

finite groupssubnormal subgroupsnilpotencysupersolvabilityweakly normal 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) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE ${\mathcal{H^*}}$-GROUPS ⋮ On Weakly Normal Subgroups of a Finite Group ⋮ Finite groups with some primary subgroups \(ss\)-quasinormally embedded. ⋮ A complete classification of minimal non-\(PS\)-groups.

Cites Work

• Unnamed Item
• Unnamed Item
• On \(\pi\)-quasinormally embedded subgroups of finite group.
• Minimal nicht überauflösbare, endliche Gruppen
• Schwachnormale Untergruppen: eine gemeinsame Verallgemeinerung der normalen und normalisatorgleichen Untergruppen
• On Supersolvable Groups and the Nilpotator
• On finiteJ-groups
• A note on minimal subgroups of finite groups
• On finite solvable groups in which normality is a transitive relation