Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 4
A Generalization of a Result on Torsion-Free Groups With all Subgroups Subnormal
- Pages
- 383–386
- DOI
- —
Abstract
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.
Özet
The main result in this paper is the following: Let G be a torsion-free locally nilpotent group and let F be a finitely generated subgroup of G. If every subgroup of G containing F is subnormal in G, then G is nilpotent.