English

The Bowditch boundary of $(G,\mathcal{H})$ when $G$ is hyperbolic

Group Theory 2020-03-10 v4

Abstract

In this note we use Yaman's dynamical characterization of relative hyperbolicity to prove a theorem of Bowditch about relatively hyperbolic pairs (G,H)(G,\mathcal{H}) with GG hyperbolic. Our proof additionally gives a description of the Bowditch boundary of such a pair. This description of the boundary was previously obtained by Tran.

Keywords

Cite

@article{arxiv.1504.03630,
  title  = {The Bowditch boundary of $(G,\mathcal{H})$ when $G$ is hyperbolic},
  author = {Jason Fox Manning},
  journal= {arXiv preprint arXiv:1504.03630},
  year   = {2020}
}

Comments

8 pages, 2 figures. v4: corrections and improvements prompted by referee remarks