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Algebra i logika, 2020, Volume 59, Number 4, Pages 413–431
DOI: https://doi.org/10.33048/alglog.2020.59.401 (Mi al2624) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lower central series of Baumslag–Solitar groups

V. G. Bardakovabcd, M. V. Neshchadimbdc

a Novosibirsk State Agrarian University
b Tomsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
d Novosibirsk State University
Full-text PDF (249 kB) Citations (3)
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DOI: https://doi.org/10.33048/alglog.2020.59.401
Abstract: We look at Baumslag–Solitar groups. Lower central series are given for residually nilpotent Baumslag–Solitar groups. For some Baumslag–Solitar groups that are not residually nilpotent, we find the intersection of all terms of the lower central series. Also we point out non-Abelian Baumslag–Solitar groups having lower central series of length 2. For some Baumslag–Solitar groups, a relationship is established between an intersection of subgroups of finite index and an intersection of terms of the lower central series.
Keywords: Baumslag–Solitar groups, residual nilpotency, lower central series.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00569
18-01-00057_а
M. V. Neshchadim is Supported by RFBR, project No. 19-01-00569. V. G. Bardakov is Supported by RFBR, project No. 18-01-00057.
Received: 19.09.2019
Revised: 24.11.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 4, Pages 281–294
DOI: https://doi.org/10.1007/s10469-020-09601-z
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. G. Bardakov, M. V. Neshchadim, “Lower central series of Baumslag–Solitar groups”, Algebra Logika, 59:4 (2020), 413–431; Algebra and Logic, 59:4 (2020), 281–294
Citation in format AMSBIB
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\by V.~G.~Bardakov, M.~V.~Neshchadim
\paper Lower central series of Baumslag--Solitar groups
\jour Algebra Logika
\yr 2020
\vol 59
\issue 4
\pages 413--431
\mathnet{http://mi.mathnet.ru/al2624}
\crossref{https://doi.org/10.33048/alglog.2020.59.401}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 4
\pages 281--294
\crossref{https://doi.org/10.1007/s10469-020-09601-z}
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Linking options:
  • https://www.mathnet.ru/eng/al2624
  • https://www.mathnet.ru/eng/al/v59/i4/p413
    • This publication is cited in the following 3 articles:
    1. V. G. Bardakov, O. V. Bryukhanov, M. V. Neshchadim, “On residual nilpotence of group extensions”, Int. J. Algebra Comput., 33:08 (2023), 1617  crossref
    2. C.E. Kofinas, V. Metaftsis, A.I. Papistas, “Baumslag–Solitar groups and residual nilpotence”, Proceedings of the Edinburgh Mathematical Society, 66:2 (2023), 532  crossref
    3. E. V. Sokolov, “Certain residual properties of generalized Baumslag-Solitar groups”, J. Algebra, 582 (2021), 1–25  crossref  mathscinet  isi  scopus
    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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    Full-text PDF :48
    References:49
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