On the Ree groups $^2{}G_2(q)$ characterized by a size of a conjugacy class
نویسندگان
1 State Office of Education in Qaemiyeh, Fars Province, Iran.
2 Department of Mathematics, Payame Noor University, P. Box: 19395-3697, Tehran, Iran.
doi
10.22034/as.2023.19014.1589چکیده
One of the important problem in finite groups theory is group characterization by specific property. Properties, such as element order, the set of element with the same order, etc. In this paper, we prove that Ree group $^2{}G_2(q)$, where $q\pm\sqrt{3q}+1$ is a prime number can be uniquely determined by its order and one conjugacy class size.
