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Communications in Algebra Volume 43, 2015 - Issue 10
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Original Articles

On the Connectivity of Proper Power Graphs of Finite Groups

A. Doostabadi Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
&
M. Farrokhi D. Ghouchan Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, IranCorrespondence[email protected]
Pages 4305-4319 | Received 08 Jun 2013, Published online: 06 Jul 2015
 
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Abstract

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.

2010 Mathematics Subject Classification:

Notes

Communicated by A. Turull.

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