Proceedings of the American Mathematical Society

Author(s): Peter Turbek
Journal: Proc. Amer. Math. Soc. 125 (1997), 2615-2625.
MSC (1991): Primary 30F35, 20H10
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Abstract: Let $X$

denote a Riemann surface which possesses a fixed point free group of automorphisms with a hyperelliptic orbit space. A criterion is proved which determines whether the hyperelliptic involution lifts to an automorphism of $X.$

Necessary and sufficient conditions are stated which determine when a lift of the hyperelliptic involution is fixed point free. A complete determination is made of the abelian groups which may arise as automorphism groups of surfaces which possess a fixed point free lift.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 30F35, 20H10

Peter Turbek
Affiliation: Department of Mathematics, Statistics, and Computer Science, Purdue University--Calumet, Hammond, Indiana 46323
Email: turbek@nwi.calumet.purdue.edu

DOI: 10.1090/S0002-9939-97-03934-8
PII: S 0002-9939(97)03934-8
Received by editor(s): March 14, 1996
Dedicated: Dedicated to the memory of Sheela Phansalkar (1966-1990)
Communicated by: Albert Baernstein II
Copyright of article: Copyright 1997, American Mathematical Society

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