A new characterization of projective special linear groups \(L_3(q)\)

• Дата: 2021
• Автор: Ebrahimzadeh, B.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2021
• Теми: element orders; the number of elements with same order; prime graph; projective special linear group; 20D06; 20D60
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1235
• Назва журналу: Algebra and Discrete Mathematics

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.