University of Isfahan International Journal of Group Theory 2251-7650 5 3 2016 09 01 On groups with specified quotient power graphs 49 60 8542 10.22108/ijgt.2016.8542 EN Mostafa Shaker Yazd University Mohammad Ali Iranmanesh Yazd University Journal Article 2014 11 14 In this paper we study some relations between the power and quotient power graph of a finite group‎. ‎These interesting relations motivate us to find some graph theoretical properties of the quotient‎ ‎power graph and the proper quotient power graph of a finite group $G$‎. ‎In addition‎, ‎we classify those groups whose quotient (proper quotient) power graphs are isomorphic to trees or paths‎. Quotient power graph Fitting subgroup full exponent https://ijgt.ui.ac.ir/article_8542_509bbaa7e2f6d1914700fada90e92c69.pdf