Surveys in Differential Geometry
Volume 25 (2020)
Some groups with planar boundaries
Pages: 253 – 280
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 .
Published 13 July 2022