A New Characterization of Projective Special Unitary Groups PSU3(3n)
One of an important problems in finite groups theory, is characterization of groups by specific property. However, in the way the researchers, proved that some of groups by properties such as, elements order, set of elements with same order, graphs, . . . , are characterizable. One of the other meth...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2019-06-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1305 |
| _version_ | 1797704912488890368 |
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| author | Ebrahimzadeh Behnam Mohammadyari Reza |
| author_facet | Ebrahimzadeh Behnam Mohammadyari Reza |
| author_sort | Ebrahimzadeh Behnam |
| collection | DOAJ |
| description | One of an important problems in finite groups theory, is characterization of groups by specific property. However, in the way the researchers, proved that some of groups by properties such as, elements order, set of elements with same order, graphs, . . . , are characterizable. One of the other methods, is group characterization by using the order of group and the largest elements order. In this paper, we prove that projective special unitary groups PSU3(3n), where 32n−3n+1 is a prime number, can be uniquely determined by the order of group and the second largest elements order. |
| first_indexed | 2024-03-12T05:27:27Z |
| format | Article |
| id | doaj.art-262dcbeda05a42108a057028013dcf3f |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T05:27:27Z |
| publishDate | 2019-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-262dcbeda05a42108a057028013dcf3f2023-09-03T07:11:41ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732019-06-01391354110.7151/dmgaa.1305dmgaa.1305A New Characterization of Projective Special Unitary Groups PSU3(3n)Ebrahimzadeh Behnam0Mohammadyari Reza1Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, IranDepartment of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, IranOne of an important problems in finite groups theory, is characterization of groups by specific property. However, in the way the researchers, proved that some of groups by properties such as, elements order, set of elements with same order, graphs, . . . , are characterizable. One of the other methods, is group characterization by using the order of group and the largest elements order. In this paper, we prove that projective special unitary groups PSU3(3n), where 32n−3n+1 is a prime number, can be uniquely determined by the order of group and the second largest elements order.https://doi.org/10.7151/dmgaa.1305element orderthe largest elements orderthe second largest elements orderprojective special unitary groupprimary 20d06secondary 20d60 |
| spellingShingle | Ebrahimzadeh Behnam Mohammadyari Reza A New Characterization of Projective Special Unitary Groups PSU3(3n) Discussiones Mathematicae - General Algebra and Applications element order the largest elements order the second largest elements order projective special unitary group primary 20d06 secondary 20d60 |
| title | A New Characterization of Projective Special Unitary Groups PSU3(3n) |
| title_full | A New Characterization of Projective Special Unitary Groups PSU3(3n) |
| title_fullStr | A New Characterization of Projective Special Unitary Groups PSU3(3n) |
| title_full_unstemmed | A New Characterization of Projective Special Unitary Groups PSU3(3n) |
| title_short | A New Characterization of Projective Special Unitary Groups PSU3(3n) |
| title_sort | new characterization of projective special unitary groups psu3 3n |
| topic | element order the largest elements order the second largest elements order projective special unitary group primary 20d06 secondary 20d60 |
| url | https://doi.org/10.7151/dmgaa.1305 |
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