Geodesic
Some results on the recognizability of the linear groups over the binary field
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 589-600.

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In this paper, we first find the set of orders of all elements in some special linear groups over the binary field. Then, we will prove the characterizability of the special linear group $\operatorname{PSL}(13,2)$ using only the set of its element orders.
Classification : 05C25, 20D05, 20D06, 20D60
Keywords: element order; prime graph; projective special linear group 
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Darafsheh, M. R.; Farjami, Y.; Khademi, M.; Moghaddamfar, A. R. Some results on the recognizability of the linear groups over the binary field. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 4, pp. 589-600. http://geodesic.mathdoc.fr/item/CMUC_2005__46_4_a0/