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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 6, Pages 1189–1203
DOI: https://doi.org/10.33048/smzh.2022.63.601 (Mi smj7723) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the virtual potency of some groups and free constructions

D. N. Azarov

Ivanovo State University
Full-text PDF (334 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2022.63.601
Abstract: We obtain some conditions for the virtual potency and virtual π-potency (where π is the set of primes) of some HNN-extensions and generalized free products of soluble minimax groups.
Keywords: potent group, residually finite group, soluble minimax group, HNN-extension, Baumslag–Solitar group, generalized free product.
Received: 30.01.2022
Revised: 30.01.2022
Accepted: 15.06.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 6, Pages 1023–1033
DOI: https://doi.org/10.1134/S0037446622060015
Document Type: Article
UDC: 512.543
MSC: 35R30
Language: Russian
Citation: D. N. Azarov, “On the virtual potency of some groups and free constructions”, Sibirsk. Mat. Zh., 63:6 (2022), 1189–1203; Siberian Math. J., 63:6 (2022), 1023–1033
Citation in format AMSBIB
\Bibitem{Aza22}
\by D.~N.~Azarov
\paper On the virtual potency of some groups and free constructions
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 6
\pages 1189--1203
\mathnet{http://mi.mathnet.ru/smj7723}
\crossref{https://doi.org/10.33048/smzh.2022.63.601}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 6
\pages 1023--1033
\crossref{https://doi.org/10.1134/S0037446622060015}
Linking options:
  • https://www.mathnet.ru/eng/smj7723
  • https://www.mathnet.ru/eng/smj/v63/i6/p1189
    • This publication is cited in the following 3 articles:
    1. D. N. Azarov, “O π-moschnosti niskhodyaschikh HNN-rasshirenii grupp”, Sib. matem. zhurn., 65:5 (2024), 775–784  mathnet  crossref
    2. D. N. Azarov, “O pochti moschnosti grupp avtomorfizmov i rasscheplyaemykh rasshirenii”, Sib. matem. zhurn., 64:6 (2023), 1119–1130  mathnet  crossref
    3. B. A. F. Wehrfritz, “Potency in soluble groups”, Monatsh Math, 2023  crossref
    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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