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) $.
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Khalili Asboei, A., & Salehi Amiri, S. S. (2012). A new characterization of PSL(2, 25). International Journal of Group Theory, 1(3), 15-19. doi: 10.22108/ijgt.2012.765
MLA
Alireza Khalili Asboei; Syyed Sadegh Salehi Amiri. "A new characterization of PSL(2, 25)". International Journal of Group Theory, 1, 3, 2012, 15-19. doi: 10.22108/ijgt.2012.765
HARVARD
Khalili Asboei, A., Salehi Amiri, S. S. (2012). 'A new characterization of PSL(2, 25)', International Journal of Group Theory, 1(3), pp. 15-19. doi: 10.22108/ijgt.2012.765
VANCOUVER
Khalili Asboei, A., Salehi Amiri, S. S. A new characterization of PSL(2, 25). International Journal of Group Theory, 2012; 1(3): 15-19. doi: 10.22108/ijgt.2012.765
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