Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components

Journal of Linear and Topological Algebra

مقاله 2، دوره 04، شماره 01، اردیبهشت 2015، صفحه 11-23   

نوع مقاله: Research Paper

نویسنده

P. Nosratpour

Department of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran

چکیده

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 $G_2(q)$.

کلیدواژه‌ها

prime graph؛ order component؛ linear group

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