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Algebra i logika, 2020, Volume 59, Number 3, Pages 367–384
DOI: https://doi.org/10.33048/alglog.2020.59.306 (Mi al2620) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Verbally closed subgroups of free solvable groups

V. A. Roman'kovab, E. I. Timoshenkoacb

a Mathematical Center in Akademgorodok, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State Technical University
Full-text PDF (282 kB) Citations (3)
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DOI: https://doi.org/10.33048/alglog.2020.59.306
Abstract: We establish a series of results on verbally closed and $l$-verbally closed subgroups of free solvable groups; here $l$ is a natural number and the concept of $l$-verbal closedness is a generalization of the concept of verbal closedness corresponding to the value $l=1$. Under certain assumptions, these subgroups turn out to be retracts and, consequently, are algebraically closed.
Keywords: free solvable group, verbally closed subgroup, $l$-verbally closed subgroup.
Funding agency
V. A. Roman’kov and E. I. Timoshenko are Supported by Mathematical Center in Akademgorodok, Agreement with RF Ministry of Education and Science No. 075-15-2019-1613.
Received: 22.05.2019
Revised: 21.10.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 3, Pages 253–265
DOI: https://doi.org/10.1007/s10469-020-09597-6
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Roman'kov, E. I. Timoshenko, “Verbally closed subgroups of free solvable groups”, Algebra Logika, 59:3 (2020), 367–384; Algebra and Logic, 59:3 (2020), 253–265
Citation in format AMSBIB
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\paper Verbally closed subgroups of free solvable groups
\jour Algebra Logika
\yr 2020
\vol 59
\issue 3
\pages 367--384
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\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 3
\pages 253--265
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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