RESEARCH ARTICLE

Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group

Selami Ercan

Gazi Üniversitesi, Gazi Egitim Fakültesi, Matematik Egitimi, 06500 Teknikokullar, Ankara, Turkiye

Abstract: In this article it is proved that a torsion-free locally nilpotent groups with non-trivial Fitting subgroup and every proper homomorphic image an $\bf N_{1}$-group is an $\bf N_{1}$-group(and so it is nilpotent).

Keywords: all subgroups subnormal, torsion-free group, locally nilpotent groups, homomorphic image.

MSC: 20E15, 20F14

Received: 09.04.2004
Revised: 24.05.2004

Language: English

Bibliographic databases:

• 
•