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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
References:
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
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 11, Pages 77–92
DOI: https://doi.org/10.4213/sm610
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”, Mat. Sb., 192:11 (2001), 77–92; Sb. Math., 192:11 (2001), 1661–1676
Citation in format AMSBIB
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\paper A~lower bound for the growth of a~3-generator 2-group
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\issue 11
\pages 77--92
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\transl
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\pages 1661--1676
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0035528647}
Linking options:
  • https://www.mathnet.ru/eng/sm610
  • https://doi.org/10.1070/SM2001v192n11ABEH000610
  • https://www.mathnet.ru/eng/sm/v192/i11/p77
  • 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
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:388
    Russian version PDF:183
    English version PDF:19
    References:79
    First page:1
     
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