Geodesic
On (2,3)-generation of matrix groups over the ring of integers
Algebra i analiz, Tome 19 (2007) no. 6, pp. 22-58.

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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. 
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M. A. Vsemirnov. On (2,3)-generation of matrix groups over the ring of integers. Algebra i analiz, Tome 19 (2007) no. 6, pp. 22-58. http://geodesic.mathdoc.fr/item/AA_2007_19_6_a1/

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