### Impacto

Etayo Gordejuela, J. Javier
(1985)
*Non-orientable automorphisms of Riemann surfaces.*
Archiv der Mathematik, 45
(4).
pp. 374-384.
ISSN 0003-889X

Official URL: http://www.springerlink.com/content/t947r671t51r1152/references/

## Abstract

We study cyclic groups of automorphisms of Riemann surfaces that contain non-orientable elements. We obtain conditions for such a group, and calculate the minimum possible genus of the surface on which it acts. As a consequence of these results we obtain that the order of a sense- reversing automorphism of a Riemann surface of genus g is at most $4g+4$ for even g and 4g-4 for odd g, and that both bounds are attained for every g.

Item Type: | Article |
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Uncontrolled Keywords: | Fuchsian groups and automorphic functions; Finite automorphism groups of miscellaneous structures; cyclic groups of automorphisms of Riemann surfaces; non-orientable elements; genus; sense-reversing automorphism |

Subjects: | Sciences > Mathematics > Group Theory |

ID Code: | 15748 |

Deposited On: | 25 Jun 2012 09:16 |

Last Modified: | 25 Jun 2012 09:16 |

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