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Automorphism group of certain power graphs of finite groups

Authors :
Ali Reza Ashrafi
Ahmad Gholami
Zeinab Mehranian
Source :
Electronic Journal of Graph Theory and Applications, Vol 5, Iss 1, Pp 70-82 (2017)
Publication Year :
2017
Publisher :
Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia, 2017.

Abstract

The power graph $\mathcal{P}(G)$ of a group $G$ is the graphwith group elements as vertex set and two elements areadjacent if one is a power of the other. The aim of this paper is to compute the automorphism group of the power graph of several well-known and important classes of finite groups.

Details

Language :
English
ISSN :
23382287
Volume :
5
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Graph Theory and Applications
Publication Type :
Academic Journal
Accession number :
edsdoj.9b9a1f1cefa4614ad3cf0ae07ea3a72
Document Type :
article
Full Text :
https://doi.org/10.5614/ejgta.2017.5.1.8