On the Connectivity of Proper Power Graphs of Finite Groups |
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| Authors: | A. Doostabadi |
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| Affiliation: | Department of Pure Mathematics , Ferdowsi University of Mashhad , Mashhad , Iran |
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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. |
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| Keywords: | Alternating group Connectivity Nilpotent group Partition Power graph Symmetric group |
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