A new characterization of PSL(2, 25)
نویسندگان
doi
10.22108/ijgt.2012.765چکیده
Let $G$ be a finite group and $\pi_{e}(G)$ be the set of element orders of $G$. Let $k \in \pi_{e}(G)$ and $m_{k}$ be the number of elements of order $k$ in $G$. Set nse($G$):=$\{ m_{k} | k \in \pi_{e}(G)\}$. In this paper, we prove that if $G$ is a group such that nse($G$)=nse($PSL(2, 25)$), then $G \cong PSL(2, 25) $.