A new characterization of Ree group $mathbf{{}^2G_2(q)}$ by the order of group and the number of elements with the same order

Abstract

‎‎In this paper‎, ‎we prove that Ree group ${}^2G_2(q)$‎, ‎where $qpmsqrt{3q}+1$ is a prime number can be uniquely determined by the order of group and the number of elements with the same order‎.

Keywords

• Element order‎
• ‎Prime graph‎
• ‎Ree group‎