University of Isfahan International Journal of Group Theory 2251-7650 3 3 2014 09 01 The coprime graph of a group 13 23 4363 10.22108/ijgt.2014.4363 EN Xuan Long Ma Beijing Normal University Hua Quan Wei Guangxi University Li Ying Yang Guangxi Teachers Education University Journal Article 2012 11 08 The coprime graph $\gg$ with a finite group $G$‎ ‎as follows‎: ‎Take $G$ as the vertex set of $\gg$ and join two distinct‎ ‎vertices $u$ and $v$ if $(|u|,|v|)=1$‎. ‎In the paper‎, ‎we explore how the graph‎ ‎theoretical properties of $\gg$ can effect on the group theoretical‎ ‎properties of $G$‎. https://ijgt.ui.ac.ir/article_4363_c9f7b91082201904334198ebeaf4569a.pdf