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

Abstract

In this note we use Yaman's dynamical characterization of relative hyperbolicity to prove a theorem of Bowditch about relatively hyperbolic pairs $(G,\mathcal{H})$ with $G$ 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.

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

References in corpus (2)

• Relations between various boundaries of relatively hyperbolic groups
• Blowing up and down compacta with geometrically finite convergence actions of a group

Cited by in corpus (1)

• Computing the Cech cohomology of decomposition spaces