On Infinitely generated Fuchsian groups of the Loch Ness monster, the Cantor tree and the Blooming Cantor tree

In this paper, for a non-compact Riemman surface S homeomorphic to either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we give a precise description of an infinite set of generators of a Fuchsian group Γ < PSL(2, ℝ), such that the quotient space ℍ/Γ is a hyperbol...

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Bibliographic Details
Main Authors: Arredondo John A., Maluendas Camilo Ramírez
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2020-0004