Nosratpour, P. (2015). Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components. Journal of Linear and Topological Algebra (JLTA), 04(01), 11-23.

P. Nosratpour. "Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components". Journal of Linear and Topological Algebra (JLTA), 04, 01, 2015, 11-23.

Nosratpour, P. (2015). 'Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components', Journal of Linear and Topological Algebra (JLTA), 04(01), pp. 11-23.

Nosratpour, P. Characterization of $G_2(q)$, where $2 < q \equiv 1(mod\ 3)$ by order components. Journal of Linear and Topological Algebra (JLTA), 2015; 04(01): 11-23.

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

^{}Department of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran

Abstract

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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