Verbal wreath products of groups and discrimination of varieties
Izvestiya. Mathematics , Tome 4 (1970) no. 6, pp. 1215-1224

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In this paper we generalize and sharpen certain facts concerning a variety of groups generated by one of its finitely generated groups. We show that the $\mathfrak B(C)$ – products of any set of nontrivial groups are distinct for distinct “distributions of brackets”. The proof rests on the construction and properties of verbal wreath products of groups.
@article{IM2_1970_4_6_a2,
     author = {M. A. Bronshtein},
     title = {Verbal wreath products of groups and discrimination of varieties},
     journal = {Izvestiya. Mathematics },
     pages = {1215--1224},
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     volume = {4},
     number = {6},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a2/}
}
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M. A. Bronshtein. Verbal wreath products of groups and discrimination of varieties. Izvestiya. Mathematics , Tome 4 (1970) no. 6, pp. 1215-1224. http://geodesic.mathdoc.fr/item/IM2_1970_4_6_a2/