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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 330, Pages 101–130
(Mi znsl281)
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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
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
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
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https://www.mathnet.ru/eng/znsl281 https://www.mathnet.ru/eng/znsl/v330/p101
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Abstract page: | 351 | Full-text PDF : | 157 | References: | 65 |
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