A characterization of $\mathbf{L_2(81)}$ by nse

Document Type : Research Paper


1 Department of Mathematical Sciences; Isfahan University of Technology; Isfahan 84156-83111; Iran.

2 Department of Mathematical Sciences;, Isfahan University of Technology


Let $\pi_e(G)$ be the set of element orders of a finite group $G$‎. ‎Let $nse(G)=\{m_n\mid n\in\pi_e(G)\}$‎, ‎where $m_n$ be the number of elements of order $n$ in $G$‎. ‎In this paper‎, ‎we prove that if $nse(G)=nse(L_2(81))$‎, ‎then $G\cong L_2(81)$‎.


Main Subjects

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