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Sbornik: Mathematics, 2001, Volume 192, Issue 11, Pages 1661–1676
DOI: https://doi.org/10.1070/SM2001v192n11ABEH000610 (Mi sm610) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A lower bound for the growth of a 3-generator 2-group

Yu. G. Leonov

Ukrainian State Academy of Communications
English version PDF (218 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM2001v192n11ABEH000610
Abstract: A non-trivial lower bound is obtained for the growth of a certain periodic 3-generator group. It gives the negative answer to a conjecture of Grigorchuk posed in 1990.
Received: 26.12.2000
Bibliographic databases:
UDC: 512.54
MSC: 20F50
Language: English
Original paper language: Russian
Citation: Yu. G. Leonov, “A lower bound for the growth of a 3-generator 2-group”, Sb. Math., 192:11 (2001), 1661–1676
Citation in format AMSBIB
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\by Yu.~G.~Leonov
\paper A~lower bound for the growth of a~3-generator 2-group
\jour Sb. Math.
\yr 2001
\vol 192
\issue 11
\pages 1661--1676
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\crossref{https://doi.org/10.1070/SM2001v192n11ABEH000610}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1886371}
\zmath{https://zbmath.org/?q=an:1031.20024}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000174857300004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035528647}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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