Some groups with planar boundaries
Geometric Topology
2019-07-17 v1 Group Theory
Abstract
In this expository note, we illustrate phenomena and conjectures about boundaries of hyperbolic groups by considering the special cases of certain amalgams of hyperbolic groups. While doing so, we describe fundamental results on hyperbolic groups and their boundaries by Bowditch and Haissinsky, along with special treatments for the boundaries of free groups by Otal and Cashen.
Cite
@article{arxiv.1907.06898,
title = {Some groups with planar boundaries},
author = {Sang-hyun Kim and Genevieve S. Walsh},
journal= {arXiv preprint arXiv:1907.06898},
year = {2019}
}
Comments
19 pages