English

Geometric description of Virtual Schottky groups

Geometric Topology 2020-05-27 v3

Abstract

A virtual Schottky group is a Kleinian group KK containing a Schottky group GG 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 KK in the particular case when K/GK/G is an abelian group.

Cite

@article{arxiv.1912.03533,
  title  = {Geometric description of Virtual Schottky groups},
  author = {Ruben A. Hidalgo},
  journal= {arXiv preprint arXiv:1912.03533},
  year   = {2020}
}
R2 v1 2026-06-23T12:38:58.232Z