A new characterization of Projective Special Unitary groups \mathbf{ U_۳ (۳^n )} by the order of group and the number of elements with the same order

In this paper, we prove that projective special unitary groups U_۳ (۳^n), where ۳^{۲n}-۳^{n}+۱ is a prime number and ۳^n\equiv\pm۲(\mod ۵), can be uniquely determined by the order of group and the number of elements with the same order.

کلیدواژه ها:

Element order ، Prime graph ، Projective special unitary group ، The number of elements with the same order