|
RESEARCH ARTICLE
A new characterization of projective special linear groups $L_3(q)$
B. Ebrahimzadeh University of Applied Science and Technology (UAST), ITMC Center, Shiraz, Iran
Abstract:
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.
Keywords:
element orders, the number of elements with same order, prime graph, projective special linear group.
Received: 16.08.2018 Revised: 09.05.2020
Citation:
B. Ebrahimzadeh, “A new characterization of projective special linear groups $L_3(q)$”, Algebra Discrete Math., 31:2 (2021), 212–218
Linking options:
https://www.mathnet.ru/eng/adm796 https://www.mathnet.ru/eng/adm/v31/i2/p212
|
Statistics & downloads: |
Abstract page: | 27 | Full-text PDF : | 10 | References: | 13 |
|