Abstract
Given a homomorphically closed root class K of groups, we find a criterion for a Baumslag–Solitar group to be a residually K-group. In particular, we establish that all Baumslag–Solitar groups are residually soluble and a Baumslag–Solitar group is residually finite soluble if and only if it is residually finite.
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Original Russian Text Copyright © 2017 Tumanova E.A.
The author was supported by Ivanovo State University.
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Tumanova, E.A. The root class residuality of Baumslag–Solitar groups. Sib Math J 58, 546–552 (2017). https://doi.org/10.1134/S003744661703017X
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DOI: https://doi.org/10.1134/S003744661703017X