Geodesic
Uniqueness of the prime graph of $\mathrm{L}_{16}(2)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 119-121.

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We complete the proof that the simple group $\mathrm{L}_{16}(2)$ is uniquely determined by its prime graph among all finite groups thus giving the first example of a recognizable-by-graph group whose prime graph is connected. We bridge the gap in the argument from [1] which purported to establish the same result.
Keywords: finite simple groups, prime graph, recognition. 
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Andrei V. Zavarnitsin. Uniqueness of the prime graph of $\mathrm{L}_{16}(2)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 119-121. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a11/

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[8] A. V. Zavarnitsine, Fixed points of large prime-order elements in equicharacteristic action of linear and unitary groups, in preparation