Symmetric Riemann surfaces, torsion subgroups and Schottky coverings
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- by Blaise Heltai PDF
- Proc. Amer. Math. Soc. 100 (1987), 675-682 Request permission
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.References
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B. Heltai, Ph.D. Dissertation, State Univ. of New York at Stony Brook, 1984.
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Additional Information
- © Copyright 1987 American Mathematical Society
- 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