Geodesic
On the theory of $n$-nilpotent groups
Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 653-664 
G. A. Karasev. On the theory of $n$-nilpotent groups. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 653-664. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a1/
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     author = {G. A. Karasev},
     title = {On the theory of $n$-nilpotent groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {653--664},
     year = {1969},
     volume = {5},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The set $\nu(G)$ of all integers $n$ for which the group $G$ is $n$-nilpotent is studied. A number of theorems generalizing fundamental results of F. Levi is proved for $\nu(G)$.