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Connectedness of Bowditch Boundary of Dehn Fillings

Published 17 Sep 2022 in math.GR and math.GT | (2209.08390v1)

Abstract: We study Dehn fillings of relatively hyperbolic group pairs $(\Gamma, \P)$ and the persistence of connectedness of Bowditch boundary in sufficiently long Dehn fillings. We show that the restriction of peripheral subgroups to virtually polycyclic subgroups is not needed.

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