Recognition: unknown
Power graphs of (non)orientable genus two
classification
🧮 math.GR
math.CO
keywords
powerfinitegenusgraphgraphsgrouporientablewhose
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The power graph $\Gamma_G$ of a finite group $G$ is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. In this paper, we classify the finite groups whose power graphs have (non)orientable genus two.
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