A new characterization of projective special linear groups L₃(q)

• Published in: Algebra and Discrete Mathematics
• Date: 2021
• ISSN: 1726-3255
• Main Author: Ebrahimzadeh, B.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188707
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A new characterization of projective special linear groups L₃(q) / B. Ebrahimzadeh // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 212–218. — Бібліогр.: 16 назв. — англ.

In this paper, we prove that projective special linear groups L₃(q), where 0 < q = 5k ± 2 (k ∊ Z) and q² + q + 1 is a prime number can be uniquely determined by their order and the number of elements with same order.