映射类群中单端组的副本
Copies of a one-ended group in a Mapping Class Group
摘要：
我们建立了，给定$Σ$是一个紧致可定向曲面，$G$是一个单端群，$G$在映射类群$\mathcal{MCG}(Σ)$中的拷贝集在共轭下是有限的.这依赖于Bowditch对曲面组图像的相同问题的结果。他问我们是否可以将单端群的情形简化为他的结果;这是一个肯定的回答。我们的工作涉及类似物的裂缝和Sela典型的圆柱在曲线复合物，和参数的Delzant绑定的图像的数量在一个双曲群的一端。
英文摘要：
We establish that, given $Σ$ a compact orientable surface, and $G$ a finitely presented one-ended group, the set of copies of $G$ in the mapping class group $\mathcal{MCG}(Σ)$ consisting of only pseudo-anosov elements except identity, is finite up to conjugacy. This relies on a result of Bowditch on the same problem for images of surfaces groups. He asked us whether we could reduce the case of one-ended groups to his result ; this is a positive answer. Our work involves analogues of Rips and Sela canonical cylinders in curve complexes, and the argument of Delzant to bound the number of images of a one-ended group in a hyperbolic group.
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