Finite groups in which elements of the same order outside the center are conjugate

Finite groups in which elements of the same order outside the center are conjugate

We prove that if G is a finite group in which the elements of the same order outside the center are conjugate, then either G is abelian or G ≅ S3.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Science China. Mathematics 2007-10, Vol.50 (10), p.1493-1500
Hauptverfasser: You, Xing-zhong, Qian, Guo-hua, Shi, Wu-jie
Format: Artikel
Sprache:eng
Schlagworte:
Conjugates
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove that if G is a finite group in which the elements of the same order outside the center are conjugate, then either G is abelian or G ≅ S3.
ISSN:1006-9283
1674-7283
1862-2763
1869-1862
DOI:10.1007/s11425-007-0109-1