Geodesic
A new characterization of projective special linear groups $L_3(q)$
Algebra and discrete mathematics, Tome 31 (2021) no. 2, pp. 212-218

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In this paper, we prove that projective special linear groups $L_3(q)$, where $0$ $(k\in\mathbb{ Z})$ 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. 
@article{ADM_2021_31_2_a2,
     author = {B. Ebrahimzadeh},
     title = {A new characterization of projective special linear groups $L_3(q)$},
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     volume = {31},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2021_31_2_a2/}
}
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B. Ebrahimzadeh. A new characterization of projective special linear groups $L_3(q)$. Algebra and discrete mathematics, Tome 31 (2021) no. 2, pp. 212-218. http://geodesic.mathdoc.fr/item/ADM_2021_31_2_a2/