A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE
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...
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MDPI AG
2018-07-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/6/7/120 |
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| author | Farnoosh Hajati Ali Iranmanesh Abolfazl Tehranian |
| author_facet | Farnoosh Hajati Ali Iranmanesh Abolfazl Tehranian |
| author_sort | Farnoosh Hajati |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-24T04:34:50Z |
| format | Article |
| id | doaj.art-52d18ec9247a4efd804c3f39f18f0d85 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-24T04:34:50Z |
| publishDate | 2018-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-52d18ec9247a4efd804c3f39f18f0d852022-12-21T17:15:14ZengMDPI AGMathematics2227-73902018-07-016712010.3390/math6070120math6070120A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSEFarnoosh Hajati0Ali Iranmanesh1Abolfazl Tehranian2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515-775, IranDepartment of Mathematics, Tarbiat Modares University, Tehran 14115-137, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515-775, IranLet 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.http://www.mdpi.com/2227-7390/6/7/120element ordernumber of elements of the same orderprojective special linear groupprojective special unitary groupsimple Kn-group |
| spellingShingle | Farnoosh Hajati Ali Iranmanesh Abolfazl Tehranian A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE Mathematics element order number of elements of the same order projective special linear group projective special unitary group simple Kn-group |
| title | A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE |
| title_full | A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE |
| title_fullStr | A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE |
| title_full_unstemmed | A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE |
| title_short | A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by NSE |
| title_sort | characterization of projective special unitary group psu 3 3 and projective special linear group psl 3 3 by nse |
| topic | element order number of elements of the same order projective special linear group projective special unitary group simple Kn-group |
| url | http://www.mdpi.com/2227-7390/6/7/120 |
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