2.58 (1966)

Let $G$ be a vector space and $\Gamma$ a group of automorphisms of $G$. $\Gamma$ is called locally finitely stable if, for any finitely generated subgroup $\Delta$ of $\Gamma$, $G$ has a finite series stable relative to $\Delta$. If the characteristic of the field is zero and $\Gamma$ is locally finitely stable, then $\Gamma$ is locally nilpotent and torsion-free. Is it true that every locally nilpotent torsion-free group can be realized in this way?