A new characterization of Projective Special Unitary groups $\mathbf{ U_3 (3^n )}$ by the order of group and the number of elements with the same order
نویسندگان
1 Department of Mathematics, Tarbiat Modares University, Tehran, Iran
2 Department of Mathematics, Persian Gulf University, Bushehr, Iran
doi
10.22034/as.2022.2675چکیده
In this paper, we prove that projective special unitary groups $U_3 (3^n)$, where $ 3^{2n}-3^{n}+1$ is a prime number and $3^n\equiv\pm2(\mod 5)$, can be uniquely determined by the order of group and the number of elements with the same order.
