Email this article The root class residuality of Baumslag–Solitar groups
- Authors: Tumanova E.A.1
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Affiliations:
- Ivanovo State University
- Issue: Vol 58, No 3 (2017)
- Pages: 546-552
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171256
- DOI: https://doi.org/10.1134/S003744661703017X
- ID: 171256
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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.
About the authors
E. A. Tumanova
Ivanovo State University
Author for correspondence.
Email: helenfog@bk.ru
Russian Federation, Ivanovo
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