A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE
oleh: Farnoosh Hajati, Ali Iranmanesh, Abolfazl Tehranian
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2018-07-01 |
Deskripsi
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.