Geodesic
Verbal products of Magnus groups
Sbornik. Mathematics, Tome 14 (1971) no. 4, pp. 501-524

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A Magnus group is a group in which the intersection of the lower central series is trivial and its factors are torsion free. The main result of the paper is the following theorem. Theorem. If $\mathfrak B$ is the variety of all nilpotent groups of a certain class or the variety of all metabelian groups, or their intersection, and if free groups of $\mathfrak B$ and of $\mathfrak U\mathfrak B$ are Magnus groups, then the $\mathfrak U\mathfrak B$-product of any Magnus $\mathfrak B$-groups is a Magnus group. Bibliography: 18 titles. 
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     author = {D. I. \`Eidel'kind},
     title = {Verbal products of {Magnus} groups},
     journal = {Sbornik. Mathematics},
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     number = {4},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_14_4_a2/}
}
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D. I. Èidel'kind. Verbal products of Magnus groups. Sbornik. Mathematics, Tome 14 (1971) no. 4, pp. 501-524. http://geodesic.mathdoc.fr/item/SM_1971_14_4_a2/