A note on a theorem of Bowditch

Panos Papasoglu (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

Bowditch showed that a one-ended hyperbolic group which is not a triangle group splits over a two-ended group if and only if its boundary has a local cut point. As a corollary one obtains that splittings of hyperbolic groups over two-ended groups are preserved under quasi-isometries. In this note we give a more direct proof of this corollary.

Domaines: Théorie des groupes [math.GR]

Panos Papasoglu. A note on a theorem of Bowditch. 2001. ⟨hal-00127051⟩