Geodesic
On the structure of subgroups of a nilpotent nonperiodic group
Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 389-396 
A. S. Pekelis. On the structure of subgroups of a nilpotent nonperiodic group. Matematičeskie zametki, Tome 11 (1972) no. 4, pp. 389-396. http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a4/
@article{MZM_1972_11_4_a4,
     author = {A. S. Pekelis},
     title = {On the structure of subgroups of a nilpotent nonperiodic group},
     journal = {Matemati\v{c}eskie zametki},
     pages = {389--396},
     year = {1972},
     volume = {11},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_4_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The structural characteristic of the normal divisor in a locally nilpotent torsion-free group is given. Moreover, a property of structural isomorphisms of locally nilpotent groups containing no less than two independent elements of infinite order is proved: if $H$ is the subgroup of the mentioned group $G$, $N(H)$ is its normalizer in $G$, and $\varphi$ is a structural isomorphism of the group $G$, then $N(H)^\varphi=N(H^\varphi)$.