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arxiv: 1609.02377 · v1 · pith:2ZRJTXGGnew · submitted 2016-09-08 · 🧮 math.GT · math.GR

Boundaries of Kleinian groups

Peter Ha\"issinsky , Luisa Paoluzzi , Genevieve Walsh This is my paper
classification 🧮 math.GT math.GR
keywords groupskleinianboundariesboundarycertaindescribedeterminedexamples
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We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe limit sets of Kleinian groups up to homeomorphism.

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  1. On groups with Schottky set boundary

    math.GT 2023-09 unverdicted novelty 5.0

    Characterizes relatively hyperbolic groups with Schottky set boundaries whose incidence graphs have 1 or 2 components.