On periodic maps over surfaces with large periods

• Hirose Susumu

  Department of Mathematics, Faculty of Science and Engineering, Saga University

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.

Journal

• Tohoku mathematical journal. Second series

  Tohoku mathematical journal. Second series 62 (1), 45-53, 2010-03

  Tohoku University

Details

• CRID: 1570572702576453376
• NII Article ID: 110007608284
• NII Book ID: AA00863953
• ISSN: 00408735
• Text Lang: en
• Data Source:
  • CiNii Articles