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On the group of automorphisms of cyclic covers of the Riemann sphere

Published online by Cambridge University Press:  24 February 2005

SADOK KALLEL  and
DENIS SJERVE
SADOK KALLEL
Affiliation:
Université des Science et Technologies de Lille, 59655 Villeneuve d'Ascq, France
DENIS SJERVE
Affiliation:
University of British Columbia, Vancouver V6T 1Z2, Canada
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Abstract

This paper uses some recent calculations of Conder and Bujalance (on classifying finite index group extensions of Fuchsian groups with abelian quotient and torsion free kernel) in order to determine the full automorphism groups of some cylic coverings of the line (including curves of Fermat and Lefschetz type). The answer is complete for cyclic covers that branch over three points.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 2 , March 2005 , pp. 267 - 287
Copyright
2005 Cambridge Philosophical Society

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