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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 700–709
DOI: https://doi.org/10.17377/smzh.2017.58.317 (Mi smj2890) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The root class residuality of Baumslag–Solitar groups

E. A. Tumanova

Ivanovo State University, Ivanovo, Russia
Full-text PDF (297 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2017.58.317
Abstract: Given a homomorphically closed root class $\mathscr K$ of groups, we find a criterion for a Baumslag–Solitar group to be a residually $\mathscr K$-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.
Keywords: root class residuality, residual solubility, residual $\pi$-finiteness, Baumslag–Solitar groups, HNN-extension.
Funding agency Grant number
Ivanovo State University
The author was supported by Ivanovo State University.
Received: 22.06.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 546–552
DOI: https://doi.org/10.1134/S003744661703017X
Bibliographic databases:
Document Type: Article
UDC: 512.543
MSC: 20E26, 20E06, 20F22
Language: Russian
Citation: E. A. Tumanova, “The root class residuality of Baumslag–Solitar groups”, Sibirsk. Mat. Zh., 58:3 (2017), 700–709; Siberian Math. J., 58:3 (2017), 546–552
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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