http://orcid.org/0000-0003-3263-0616
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Abstract
The power graph of a finite group is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this article, we classify the finite groups whose power graphs have (non)orientable genus two.
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Acknowledgements
The authors thank Prof. Eamonn O’Brien for many useful comments and suggestions. The revision of this article was done during Ma’s visit to Beijing Normal University.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
Wang’s research was supported by National Natural Science Foundation of China (11671043). Ma's research was supported by the National Natural Science Foundation of China (Grant No. 11801441) and the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 18JK0623).