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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 330, Pages 101–130 (Mi znsl281)  
This article is cited in 11 scientific papers (total in 11 papers)

Is the group $\mathrm{SL}(6,\mathbb{Z})$ $(2,3)$-generated?

M. A. Vsemirnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (316 kB) Citations (11)
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Abstract: The problem whether the group $\mathrm{SL}(6,\mathbb{Z})$ can be generated by an involution and an element of order three is considered. The problem is reduced to the question whether $\mathrm{SL}(6,\mathbb{Z})$ is generated by one of eight explicitly written pairs of matrices.
Received: 10.02.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 5, Pages 660–675
DOI: https://doi.org/10.1007/s10958-007-0006-8
Bibliographic databases:
UDC: 512.543.1, 512.544.6, 512.817
Language: Russian
Citation: M. A. Vsemirnov, “Is the group $\mathrm{SL}(6,\mathbb{Z})$ $(2,3)$-generated?”, Problems in the theory of representations of algebras and groups. Part 13, Zap. Nauchn. Sem. POMI, 330, POMI, St. Petersburg, 2006, 101–130; J. Math. Sci. (N. Y.), 140:5 (2007), 660–675
Citation in format AMSBIB
\Bibitem{Vse06}
\by M.~A.~Vsemirnov
\paper Is the group $\mathrm{SL}(6,\mathbb{Z})$ $(2,3)$-generated?
\inbook Problems in the theory of representations of algebras and groups. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 330
\pages 101--130
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2253569}
\zmath{https://zbmath.org/?q=an:1105.20040}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 140
\issue 5
\pages 660--675
\crossref{https://doi.org/10.1007/s10958-007-0006-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846140787}
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  • https://www.mathnet.ru/eng/znsl/v330/p101
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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