Geodesic
Recognizability by spectrum of simple groups $C_p(2)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 102-113

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It is proved that, if $G$ is a finite group that has the same set of element orders as the simple group $C_p(2)$, where $p$ is a prime and $p>3$, then $G/O_2(G)$ is isomorphic to $C_p(2)$.
Keywords: finite simple group, prime graph, spectrum, recognition by spectrum, symplectic group. 
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     title = {Recognizability by spectrum of simple groups $C_p(2)$},
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M. R. Zinov'eva. Recognizability by spectrum of simple groups $C_p(2)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 102-113. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a10/