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Let G be a finite group and ω(G) be the set of element orders of G. Let k∈ω(G) and mk be the number of elements of order k in G. Let nse(G)={mk|k∈ω(G)}. In this paper, we prove that if G is a finite group such that nse(G) = nse(H), where H=PSU(3,3) or PSL(3,3), then G≅H.

A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE