Finite non-nilpotent groups with few non-normal non-cyclic subgroups

Finite non-nilpotent groups with few non-normal non-cyclic subgroups

‎‎For a finite group $G$‎, ‎let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$‎. ‎We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate‎.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of group theory 2017-12, Vol.6 (4), p.35-40
Hauptverfasser: Hamid Mousavi, Zahra Rezazadeh
Format: Artikel
Sprache:eng
Schlagworte:
Conjugacy classes of non-normal subgroups
Non-nilpotent groups
Non-normal subgroups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:‎‎For a finite group $G$‎, ‎let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$‎. ‎We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate‎.
ISSN:2251-7650
2251-7669
DOI:10.22108/ijgt.2017.21222