CINECA IRIS Institutional Research Information System
IRIS è la piattaforma adottata dall’Università degli Studi di Udine per gestire l’archivio aperto dei prodotti della ricerca. L’archivio contiene articoli, contributi in volume, monografie, interventi pubblicati in atti di convegno, Tesi di dottorato e altri materiali.
EnglishThe authors continue their investigation of $S$-groups, i.e. the groups $G$, in which every subgroup $H$ is $f$-subnormal (there exists an $f$-series from $H$ to $G$, that is a finite series $H=H_0\le H_1\le\cdots\le H_n=G$ such that $|H_i:H_{i-1}|$ is finite or $H_{i-1}$ is normal in $H_i$).\par The main results of the article are the following theorems: Theorem 1. A torsion $S$-groups is an extension of a finite group by a group in which all subgroups are subnormal. Theorem 2. The primary components of the subgroup generated by the nilpotent residuals of the finitely generated subgroups of an $S$-group $G$ are finite. [Igor Subbotin (Los Angeles)]
| Titolo: | Groups with all subgroups $f$-subnormal | |
| Autori: | ||
| Data di pubblicazione: | 2001 | |
| Abstract: | The authors continue their investigation of $S$-groups, i.e. the groups $G$, in which every subgroup $H$ is $f$-subnormal (there exists an $f$-series from $H$ to $G$, that is a finite series $H=H_0\le H_1\le\cdots\le H_n=G$ such that $|H_i:H_{i-1}|$ is finite or $H_{i-1}$ is normal in $H_i$).\par The main results of the article are the following theorems: Theorem 1. A torsion $S$-groups is an extension of a finite group by a group in which all subgroups are subnormal. Theorem 2. The primary components of the subgroup generated by the nilpotent residuals of the finitely generated subgroups of an $S$-group $G$ are finite. [Igor Subbotin (Los Angeles)] | |
| Handle: | http://hdl.handle.net/11390/677443 | |
| ISBN: | 8879993453 | |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
File in questo prodotto:
Copyright © 2021