Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components
محورهای موضوعی : Group theory
1 - Department of Mathematics, Ilam Branch,
Islamic Azad University, Ilam, Iran
کلید واژه: prime graph, linear group, order component,
چکیده مقاله :
In this paper we will prove that the simple group$G_2(q)$, where $2 < q \equiv 1(mod3)$is recognizable by the set of its order components, also other word we prove that if $G$ is a finite group with $OC(G)=OC(G_2(q))$, then $G$ is isomorphic to $G_2(q)$.
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