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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) $.
متن کاملa new characterization of psl(2, 25)
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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ژورنال
عنوان ژورنال: The Canadian Entomologist
سال: 1906
ISSN: 0008-347X,1918-3240
DOI: 10.4039/ent38174-5