On groups with $S^2$ Bowditch boundary

Bena Tshishiku; Genevieve Walsh

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On groups with S² Bowditch boundary

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arxiv 1710.09018 v3 pith:KWFIE3NA submitted 2017-10-24 math.GR

On groups with S² Bowditch boundary

Bena Tshishiku , Genevieve Walsh This is my paper

classification math.GR

keywords bowditchboundarygroupshyperbolicpairproverelativelyboundaries

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We prove that a relatively hyperbolic pair $(G,P)$ has Bowditch boundary a 2-sphere if and only if it is a 3-dimensional Poincare duality pair. We prove this by studying the relationship between the Bowditch and Dahmani boundaries of relatively hyperbolic groups.

On groups with S² Bowditch boundary

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