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arXiv · 1806.04492

On Infinitely generated Fuchsian groups of some infinite genus surfaces

John A. Arredondo·Camilo Ramírez Maluendas
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Abstract

In this paper, for a non compact and orientable surface $S$ been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an infinitely generated Fuchsian group $\Gamma<PSL(2,\mathbb{R})$, such that the quotient $\mathbb{H}/\Gamma$ is a hyperbolic surface homeomorphic to $S$.

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John A. Arredondo, Camilo Ramírez Maluendas. 2018-06-12. On Infinitely generated Fuchsian groups of some infinite genus surfaces. https://arxiv.org/abs/1806.04492

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