On groups with $S^2$ Bowditch boundary
Group Theory
2021-10-12 v3
Abstract
We prove that a relatively hyperbolic pair has Bowditch boundary a 2-sphere if and only if it is a 3-dimensional Poincare duality pair. We prove this by studying the relationship between the Bowditch and Dahmani boundaries of relatively hyperbolic groups.
Keywords
Cite
@article{arxiv.1710.09018,
title = {On groups with $S^2$ Bowditch boundary},
author = {Bena Tshishiku and Genevieve Walsh},
journal= {arXiv preprint arXiv:1710.09018},
year = {2021}
}
Comments
Final version that appears in Groups Geom. Dyn. Erratum to the published version attached