Geodesic
The structure of free groups of certain varieties
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 131-145 
Yu. V. Kuz'min. The structure of free groups of certain varieties. Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 131-145. http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/
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     author = {Yu. V. Kuz'min},
     title = {The structure of free groups of certain varieties},
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     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $F$ be a free group and $N\vartriangleleft F$. The structure of the group $G=F/[F,N']$ is studied. A description is obtained of the periodic part of $G$ in terms of the third and fourth homology groups of $B=F/N$. It is shown that, if $B$ is residually torsion-free nilpotent, the same is true for the factor group of $G$ by its periodic part. Bibliography: 9 titles.

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[4] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 | MR

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[7] Maklein S., Gomologiya, Mir, M., 1966

[8] Hartley, “Residual nilpotence of wreath product”, Proc. London Math. Soc., 20:3 (1970), 365–392 | DOI | MR | Zbl

[9] Shmelkin A. L., “Spleteniya algebr Li i ikh primenenie v teorii grupp”, Tr. MMO, 29 (1973), 247–260 | Zbl