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

Document Type: Research Paper

Authors

1 ‎Islamic Azad University

2 Tarbiat Modares University

3 Alvand Institute of Higher Education

Abstract

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

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Main Subjects


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