# 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

Document Type : Research Paper

Authors

1 Department of Mathematics, Persian Gulf University, Bushehr, Iran

2 Department of Mathematics, Tarbiat Modares University, Tehran, Iran

10.29252/as.2022.2675

Abstract

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.

Keywords

#### References

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