A new characterization of projective special linear groups \(L_3(q)\)
In this paper, we prove that projective special linear groups \(L_3(q)\), where \(0<q=5k\pm 2\) \((k\in\mathbb{ Z})\) and \(q^2+q+1\) is a~prime number can be uniquely determined by their order and the number of elements with same order.
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| Дата: | 2021 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1235 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1235 |
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oai:ojs.admjournal.luguniv.edu.ua:article-12352021-07-19T08:39:30Z A new characterization of projective special linear groups \(L_3(q)\) Ebrahimzadeh, B. element orders, the number of elements with same order, prime graph, projective special linear group 20D06, 20D60 In this paper, we prove that projective special linear groups \(L_3(q)\), where \(0<q=5k\pm 2\) \((k\in\mathbb{ Z})\) and \(q^2+q+1\) is a~prime number can be uniquely determined by their order and the number of elements with same order. Lugansk National Taras Shevchenko University 2021-07-19 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1235 10.12958/adm1235 Algebra and Discrete Mathematics; Vol 31, No 2 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1235/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1235/410 Copyright (c) 2021 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2021-07-19T08:39:30Z |
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OJS |
| language |
English |
| topic |
element orders the number of elements with same order prime graph projective special linear group 20D06 20D60 |
| spellingShingle |
element orders the number of elements with same order prime graph projective special linear group 20D06 20D60 Ebrahimzadeh, B. A new characterization of projective special linear groups \(L_3(q)\) |
| topic_facet |
element orders the number of elements with same order prime graph projective special linear group 20D06 20D60 |
| format |
Article |
| author |
Ebrahimzadeh, B. |
| author_facet |
Ebrahimzadeh, B. |
| author_sort |
Ebrahimzadeh, B. |
| title |
A new characterization of projective special linear groups \(L_3(q)\) |
| title_short |
A new characterization of projective special linear groups \(L_3(q)\) |
| title_full |
A new characterization of projective special linear groups \(L_3(q)\) |
| title_fullStr |
A new characterization of projective special linear groups \(L_3(q)\) |
| title_full_unstemmed |
A new characterization of projective special linear groups \(L_3(q)\) |
| title_sort |
new characterization of projective special linear groups \(l_3(q)\) |
| description |
In this paper, we prove that projective special linear groups \(L_3(q)\), where \(0<q=5k\pm 2\) \((k\in\mathbb{ Z})\) and \(q^2+q+1\) is a~prime number can be uniquely determined by their order and the number of elements with same order. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2021 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1235 |
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AT ebrahimzadehb anewcharacterizationofprojectivespeciallineargroupsl3q AT ebrahimzadehb newcharacterizationofprojectivespeciallineargroupsl3q |
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2025-07-17T10:30:00Z |
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2025-07-17T10:30:00Z |
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