Characterization of A5 and PSL(2,7) by sum of elements orders
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]...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2013-06-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=1918&_ob=b2e767f38421bf016428f8625e625431&fileName=full_text.pdf |