Geodesic
Recognizability by spectrum of the group $L_2(7)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 136-140.

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It is proved that the finite simple group $L_2(7)$ is characterized up to isomorphism by its set of element orders in the class of all groups. This gives the answer to the question 16.57 from “Kourovka Notebook”. 
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D. V. Lytkina; A. A. Kuznetsov. Recognizability by spectrum of the group $L_2(7)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 4 (2007), pp. 136-140. http://geodesic.mathdoc.fr/item/SEMR_2007_4_a9/

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