On $\sigma$-subnormal subgroups of finite 3'-groups
UDC 512.542 For a partition $\sigma$ of the set $\mathbb{R}$ of all primes, it is solved that if every complete Hall set of type $\sigma$ of a finite $3 \prime$-group $G$ is reducible in some subgroup $H$ of $G$, then $H$ is $\sigma$ -subnormal in $G$.  
Gespeichert in:
| Datum: | 2020 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2020
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1037 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.542
For a partition $\sigma$ of the set $\mathbb{R}$ of all primes, it is solved that if every complete Hall set of type $\sigma$ of a finite $3 \prime$-group $G$ is reducible in some subgroup $H$ of $G$, then $H$ is $\sigma$ -subnormal in $G$.
  |
|---|---|
| DOI: | 10.37863/umzh.v72i6.1037 |