扩展的${\mathbb Z}_{2n}$ -Schottky群的结构描述
A structural description of extended ${\mathbb Z}_{2n}$-Schottky groups
摘要：
Schottky空间${\mathcal S}_{g}$的实点对应于扩展的Kleinian群$K$，其包含秩为$g$的Schottky群$Γ$作为正规子群，使得对于适当的整数$n \geq 1$，$K/Γ\cong {\mathbb Z}_{2n}$。这类群称为秩为$g$的扩展${\mathbb Z}_{2n}$ -Schottky群。本文利用Klein-Maskit组合定理给出了这类群的一个结构分解定理。
英文摘要：
Real points of Schottky space ${\mathcal S}_{g}$ are in correspondence with extended Kleinian groups $K$ containing, as a normal subgroup, a Schottky group $Γ$ of rank $g$ such that $K/Γ\cong {\mathbb Z}_{2n}$ for a suitable integer $n \geq 1$. These kind of groups are called extended ${\mathbb Z}_{2n}$-Schottky groups of rank $g$. In this paper, we provide a structural decomposition theorem, in terms of Klein-Maskit's combination theorems, of these kind of groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
