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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
Full-text PDF (361 kB) Citations (10)
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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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\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}
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  • 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
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