Geodesic
On polynilpotent products of groups
Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 651-666

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In this paper polynilpotent verbal products of groups are regarded as polyverbal in the sense of O. N. Golovin. It is proved that among them only the nilpotent products have a finite basis of polyidentities. 
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     author = {M. A. Bronshtein},
     title = {On polynilpotent products of groups},
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     number = {3},
     year = {1967},
     language = {en},
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M. A. Bronshtein. On polynilpotent products of groups. Izvestiya. Mathematics , Tome 1 (1967) no. 3, pp. 651-666. http://geodesic.mathdoc.fr/item/IM2_1967_1_3_a7/