Torsion-free groups with every proper homomorphic image an N₁-group

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Author: Ercan, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156415
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Torsion-free groups with every proper homomorphic image an N₁-group / S. Ercan // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 56–58. — Бібліогр.: 7 назв. — англ.

In this article it is proved that a torsion-free locally nilpotent groups with non-trivial Fitting subgroup and every proper homomorphic image an N₁-group is an N₁-group(and so it is nilpotent).