Recognizability by spectrum of simple groups $C_p(2)$

M. R. Zinov'eva

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 102-113

Résumé

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 $C_p(2)$.

Détail

Keywords: finite simple group, prime graph, spectrum, recognition by spectrum, symplectic group.

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