This article is cited in 1 paper

Verbal wreath products of groups and discrimination of varieties

M. A. Bronshtein


Abstract: 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.

UDC: 519.4

MSC: 20F25, 20E10

Received: 23.12.1969

 English version: Mathematics of the USSR-Izvestiya, 1970, 4:6, 1215–1224

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