Geodesic
The structure of free groups of certain varieties
Sbornik. Mathematics, Tome 53 (1986) no. 1, pp. 131-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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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