%0 Journal Article
%T A new characterization of PSL(2, 25)
%A Alireza Khalili Asboei
%A Syyed Sadegh Salehi Amiri
%J International Journal of Group Theory
%D 2012
%I University of Isfahan
%X 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. Let 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 is isomorphic to PSL(2, 25).
%K element order
%K set of the numbers of elements of the same order
%K Sylow subgroup
%U http://www.theoryofgroups.ir/?_action=showPDF&article=765&_ob=3cb589fd74c1a6fe0587c1d1dc0a64f1&fileName=full_text.pdf