A note on a theorem of Bowditch

Details A note on a theorem of Bowditch A note on a theorem of Bowditch

2001-07-16

arxiv.org/abs/math/0107115v1

Mathematics

Group Theory

4 pages

Scientific paper

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.

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