Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-30T23:00:01.017Z Has data issue: false hasContentIssue false
  • English
  • Français

ON CYCLIC GROUPS OF AUTOMORPHISMS OF RIEMANN SURFACES

Published online by Cambridge University Press:  01 April 1999

EMILIO BUJALANCE  and
MARSTON CONDER
EMILIO BUJALANCE
Affiliation:
Departamento de Matemáticas Fundamentales, UNED, 28040 Madrid, Spain
MARSTON CONDER
Affiliation:
Department of Mathematics, University of Auckland, Private Bag 92109, Auckland, New Zealand
Get access

Abstract

The question of extendability of the action of a cyclic group of automorphisms of a compact Riemann surface is considered. Particular attention is paid to those cases corresponding to Singerman's list of Fuchsian groups which are not finitely-maximal, and more generally to cases involving a Fuchsian triangle group. The results provide partial answers to the question of which cyclic groups are the full automorphism group of some Riemann surface of given genus g>1.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 573 - 584
Copyright
The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)