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.
Tohoku Math. J. (2)
62(1):
45-53
(2010).
DOI: 10.2748/tmj/1270041026
