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Algebra i Analiz, 2007, Volume 19, Issue 6, Pages 22–58 (Mi aa145)  

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

On (2,3)-generation of matrix groups over the ring of integers

M. A. Vsemirnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: The groups $\mathrm{GL}(5,\mathbb{Z})$, $\mathrm{SL}(5,\mathbb{Z})$, $\mathrm{SL}(6,\mathbb{Z})$, $\mathrm{GL}(7,\mathbb{Z})$ and $\mathrm{SL}(7,\mathbb{Z})$ are (2,3)-generated.
Keywords: (2,3)-generation, linear groups.
Received: 10.08.2007
English version:
St. Petersburg Mathematical Journal, 2008, Volume 19, Issue 6, Pages 883–910
DOI: https://doi.org/10.1090/S1061-0022-08-01026-1
Bibliographic databases:
Document Type: Article
MSC: Primary 20G30; Secondary 20F05, 20C12
Language: Russian
Citation: M. A. Vsemirnov, “On (2,3)-generation of matrix groups over the ring of integers”, Algebra i Analiz, 19:6 (2007), 22–58; St. Petersburg Math. J., 19:6 (2008), 883–910
Citation in format AMSBIB
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\by M.~A.~Vsemirnov
\paper On (2,3)-generation of matrix groups over the ring of integers
\jour Algebra i Analiz
\yr 2007
\vol 19
\issue 6
\pages 22--58
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2411638}
\zmath{https://zbmath.org/?q=an:1206.20040}
\transl
\jour St. Petersburg Math. J.
\yr 2008
\vol 19
\issue 6
\pages 883--910
\crossref{https://doi.org/10.1090/S1061-0022-08-01026-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497100002}
Linking options:
  • https://www.mathnet.ru/eng/aa145
  • https://www.mathnet.ru/eng/aa/v19/i6/p22
    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:521
    Full-text PDF :167
    References:62
    First page:6
     
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