论文标题

构建一些相对夸张的群体的Bowditch边界,这些群体是同型$ n $二维Sierpiński地毯

Constructing Bowditch boundaries of some relatively hyperbolic groups that are homeomorphic to the $n$-dimensional Sierpiński carpet

论文作者

de Souza, Lucas H. R.

论文摘要

在本文中,我们证明,如果某些相对双曲线的群体具有鲍迪奇边界的同型同构,那么相对于另一组抛物线子组,它们也相对柔软,并且其Bowditch边界对$ n-1 $ n-1 $ dimensimentimentimentimentimentional sierpientionalsierpiński地毯。

In this paper we prove that if some relatively hyperbolic groups have Bowditch boundary homeomorphic to the $n$-sphere, then they are also relatively hyperbolic with respect to another set of parabolic subgroups and its Bowditch boundary is homeomorphic to the $n-1$-dimensional Sierpiński carpet.

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