A New Characterization of Projective Special Linear Groups $\mathbf{L_2(q)}$ }


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Authors: B. EBRAHIMZADEH AND A. KHAKSARI

DOI: 10.46793/KgJMat2506.925E

Abstract:

In this paper, we prove that projective special linear groups L2(q), where q ≡±2 (mod 5) (q is an odd prime) can be uniquely determined by |L2(q)| and nse(L2(q)).



Keywords:

Element orders, the number of elements with same order, prime graph, projective special linear group.



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