The root class residuality of Baumslag–Solitar groups
- 作者: Tumanova E.1
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隶属关系:
- Ivanovo State University
- 期: 卷 58, 编号 3 (2017)
- 页面: 546-552
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171256
- DOI: https://doi.org/10.1134/S003744661703017X
- ID: 171256
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详细
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.