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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
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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

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