Geometric description of Virtual Schottky groups

Ruben A. Hidalgo

doi:10.1112/blms.12346

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arXiv · 1912.03533

Geometric description of Virtual Schottky groups

Ruben A. Hidalgo

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Abstract

A virtual Schottky group is a Kleinian group $K$ containing a Schottky group $G$ as a finite index normal subgroup. These groups correspond to those groups of automorphisms of closed Riemann surfaces which can be realized at the level of their Schottky uniformizations. In this paper we provides a geometrical structural decomposition of $K$ in the particular case when $K/G$ is an abelian group.

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Ruben A. Hidalgo. 2019-12-07. Geometric description of Virtual Schottky groups. https://doi.org/10.1112/blms.12346

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