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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Symmetric Riemann surfaces, torsion subgroups and Schottky coverings


Author: Blaise Heltai
Journal: Proc. Amer. Math. Soc. 100 (1987), 675-682
MSC: Primary 30F10
DOI: https://doi.org/10.1090/S0002-9939-1987-0894437-8
MathSciNet review: 894437
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Abstract: We consider a torsion-free Fuchsian group $ G$ acting on $ H$ which admits an orientation reversing involution $ j$. That is, $ jGj = G$. Let $ T$ be the orientation preserving half of the torsion subgroup of the extended group $ \left\langle {G,j} \right\rangle $.

By considering invariant homology basis elements of the surface $ H/G$, we show that the surface $ H/T$ is planar, and that the group $ G/T$ acts on $ H/T$ as a Schottky group.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0894437-8
Article copyright: © Copyright 1987 American Mathematical Society