On the Connectivity of Proper Power Graphs of Finite Groups
Alireza Doostabadi, Mohammad Farrokhi Derakhshandeh Ghouchan · Communications in Algebra · 2015
We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a nontrivial partition, and symmetric and alternating groups. Also, for such a group, the corresponding proper power graph has diameter at most 26 whenever it is connected.