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Creators/Authors contains: "Hruska, Christopher"

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  1. ; (, Math. Res. Lett.)
    We study the Bowditch boundaries of relatively hyperbolic group pairs, focusing on the case where there are no cut points. We show that if (G,P) is a rigid relatively hyperbolic group pair whose boundary embeds in S2, then the action on the boundary extends to a convergence group action on S2. More generally, if the boundary is connected and planar with no cut points, we show that every element of P is virtually a surface group. This conclusion is consistent with the conjecture that such a group G is virtually Kleinian. We give numerous examples to show the necessity of our assumptions 
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