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A note on a theorem of Bowditch

群论 2016-09-07 v1

摘要

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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引用

@article{arxiv.math/0107115,
  title  = {A note on a theorem of Bowditch},
  author = {Panos Papasoglu},
  journal= {arXiv preprint arXiv:math/0107115},
  year   = {2016}
}

备注

4 pages