Geodesic
Private life of $\mathrm{GL}(5,\mathbb Z)$
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 153-162 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper investigates $(2,3)$-generation of $\mathrm{GL}(5,\mathbb Z)$. We reduce the problem to five specific pairs of matrices. 
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A. Yu. Luzgarev; I. M. Pevzner. Private life of $\mathrm{GL}(5,\mathbb Z)$. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 10, Tome 305 (2003), pp. 153-162. http://geodesic.mathdoc.fr/item/ZNSL_2003_305_a9/

[1] L. Di Martino, N. Vavilov, “$(2,3)$-generation of $\mathrm{SL}(n,q)$, I. Cases $n=5,6,7$”, Comm. Algebra, 22:4 (1994), 1321–1347 | DOI | MR | Zbl

[2] L. Di Martino, N. Vavilov, “$(2,3)$-generation of $\mathrm{SL}(n,q)$, II. Cases $n\ge8$”, Comm. Algebra, 24:2 (1996), 487–515 | DOI | MR | Zbl

[3] P. Sanchini, M. C. Tamburini, “Constructive $(2,3)$-generation: a permutational approach”, Rend. Sem. Math. Fis. Milano, 94 (1994), 141–158 | DOI | MR

[4] M. C. Tamburini, P. Zucca, “On a question of M. Condor”, Atti Accad. Naz. Lincei Rend., 11:9 (2000), 5–7 | MR | Zbl