Abstract
Kulkarni showed that, if $g$ is greater than three, any periodic map on the oriented surface of genus $g$ with period more than or equal to $4g$ is conjugate to a power of one of two types of periodic maps. In this paper, we show that, if $g$ is greater than 12, any periodic map on the surface with period more than or equal to $3g$ is conjugate to a power of one of four types of periodic maps.
Citation
Susumu Hirose. "On periodic maps over surfaces with large periods." Tohoku Math. J. (2) 62 (1) 45 - 53, 2010. https://doi.org/10.2748/tmj/1270041026
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