Infinite dimensional general linear groups have finite width.
Sibirskij Matematicheskij Zhurnal, Tome 47 (2006) no. 5, p. 1160.

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Classification : 20G15, 20H25, 20F05
Mots-clés : general linear groups over division rings, infinite dimensional spaces, generating sets, groups of finite width 
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     author = {Tolstykh, V.A.},
     title = {Infinite dimensional general linear groups have finite width.},
     journal = {Sibirskij Matematicheskij Zhurnal},
     pages = {1160},
     publisher = {mathdoc},
     volume = {47},
     number = {5},
     year = {2006},
     zbl = {1139.20044},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/SMZ_2006__47_5_54185/}
}
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Tolstykh, V.A. Infinite dimensional general linear groups have finite width.. Sibirskij Matematicheskij Zhurnal, Tome 47 (2006) no. 5, p. 1160. https://geodesic-test.mathdoc.fr/item/SMZ_2006__47_5_54185/