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

Behnam Ebrahimzadeh, Ali Iranmanesh, Hosein Parvizi Mosaed
2017 International Journal of Group Theory  
‎‎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.
doi:10.22108/ijgt.2017.21233 doaj:3338c4b3b1554bb298ce559cb226e3b9 fatcat:pvfaula7drforgyzyfjfd7hxeu