On well \(p\)-embedded subgroups of finite groups
Let \(G\) be a finite group, \(H\) a subgroup of \(G\) and \(H_{s G}\) the subgroup of \(H\) genarated by all those subgroups of \(H\) which are \(s\)-permutable in \(G\). Then we say that \(H\) is well \(p\)-embedded in \(G\) if \(G\) has a quasinormal subgroup \(T\) such that \(HT=G\) and \(T\...
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Zusammenfassung: | Let \(G\) be a finite group, \(H\) a subgroup of \(G\) and \(H_{s G}\) the subgroup of \(H\) genarated by all those subgroups of \(H\) which are \(s\)-permutable in \(G\). Then we say that \(H\) is well \(p\)-embedded in \(G\) if \(G\) has a quasinormal subgroup \(T\) such that \(HT=G\) and \(T\cap H\leq H_{s G}\). In the present article we use the well \(p\)-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups. |
|---|