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Algebra i logika, 2001, Volume 40, Number 1, Pages 22–29 (Mi al207)  
This article is cited in 2 scientific papers (total in 2 papers)

Construction of a Regularly Exhausting Sequence for Groups with Subexponential Growth

V. G. Bardakov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1116 kB) Citations (2)
Abstract: It is proved that every group with subexponential growth contains a regularly exhausting sequence with polynomial growth. A consequence is answering in the negative Question 14.27 in “The Kourovka Notebook” – namely, a continuum of non-isomorphic 2-generated groups are constructed which each have a regularly exhausting sequence with polynomial growth and which are but not groups with polynomial growth.
Keywords: group with subexponential growth, regularly exhausting sequence with polynomial growth.
Received: 19.07.1999
Revised: 28.01.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 1, Pages 12–16
DOI: https://doi.org/10.1023/A:1002897921181
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. G. Bardakov, “Construction of a Regularly Exhausting Sequence for Groups with Subexponential Growth”, Algebra Logika, 40:1 (2001), 22–29; Algebra and Logic, 40:1 (2001), 12–16
Citation in format AMSBIB
\Bibitem{Bar01}
\by V.~G.~Bardakov
\paper Construction of a~Regularly Exhausting Sequence for Groups with Subexponential Growth
\jour Algebra Logika
\yr 2001
\vol 40
\issue 1
\pages 22--29
\mathnet{http://mi.mathnet.ru/al207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1852787}
\zmath{https://zbmath.org/?q=an:0980.20017}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 1
\pages 12--16
\crossref{https://doi.org/10.1023/A:1002897921181}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549090239}
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    • This publication is cited in the following 2 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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