Tohoku Mathematical Journal
2010
March
SECOND SERIES VOL. 62, NO. 1

Tohoku Math. J.
62 (2010), 45-53

Title ON PERIODIC MAPS OVER SURFACES WITH LARGE PERIODS

Author Susumu Hirose

(Received October 29, 2008, revised September 16, 2009)
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.

2000 Mathematics Subject Classification. Primary 57N05; Secondary 57M60, 20F38.

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