Power graphs of (non)orientable genus two |
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| Authors: | Xuanlong Ma Gary L Walls Kaishun Wang |
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| Institution: | 1. School of Science, Xi’an Shiyou University, Xi’an, China;2. Department of Mathematics, Southeastern Louisiana University, Hammond, Louisiana, USA;3. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Beijing Normal University, Beijing, China |
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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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| Keywords: | Finite group genus power graph |
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