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 lowest uniformizations. In this paper, we provide a geometrical structural decomposition of $K$. When $K/G$ is an abelian group, an explicit free product decomposition in terms of Klein–Maskit's combination theorems is provided.

中文翻译：

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虚拟肖特基群的几何描述

一个虚拟的肖特基集团是一个克莱因集团 $ķ$ 包含一个肖特基 $G$作为有限索引正态子组。这些组对应于闭合黎曼曲面的自同构的那些组，可以在其最低均匀度的水平上实现。在本文中，我们提供了$ķ$。什么时候$ķ/G$ 是一个阿贝尔群，提供了根据Klein-Maskit组合定理的显式自由积分解。