Geodesic
On~Magnus groups
Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 207-220

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In this paper we consider groups of the form $F/V(N)$, where $V(N)$ is a verbal subgroup of a normal divisor $N$ of a group $F$, and $F$ is either free or the free product of certain groups. In the latter case we assume that $N$ is contained in the Cartesian subgroup. We prove that the factors of the lower central series of $F/V(N)$ are torsion-free or even free Abelian if the corresponding property is possessed by the factors of the lower central series of $F/N$ and $N/V(N)$. Bibliography: 7 titles. 
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     author = {D. I. \`Eidel'kind},
     title = {On~Magnus groups},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/}
}
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D. I. Èidel'kind. On~Magnus groups. Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 207-220. http://geodesic.mathdoc.fr/item/SM_1973_21_2_a2/