%0 Journal Article
%T Characterization of A5 and PSL(2,7) by sum of elements orders
%A Seyyed Majid Jafarian Amiri
%J International Journal of Group Theory
%D 2013
%I University of Isfahan
%X Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168. These two results confirm the conjecture posed in [2] for simple groups $A_5$ and $PSL(2,7)$.
%K finite groups
%K simple group
%K element orders
%U http://www.theoryofgroups.ir/?_action=showPDF&article=1918&_ob=b2e767f38421bf016428f8625e625431&fileName=full_text.pdf