On groups with Schottky set boundary

2023/09/15 by Haïssinsky, Peter, Paoluzzi, Luisa, Walsh, Genevieve
#20E99 #20F67 #20H10 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Secondary 20F65

paper · doi:10.48550/arxiv.2309.08735

Abstract

We study relatively hyperbolic group pairs whose boundaries are Schottky sets. We characterize the groups that have boundaries where the Schottky sets have incidence graphs with 1 or 2 components.

Related

• Parabolic cut pairs in boundaries of relatively hyperbolic groups
• Boundaries of hyperbolic groups
• Some groups with planar boundaries
• Trees of Graphs as Boundaries of Hyperbolic Groups
• Hyperbolic boundaries vs. hyperbolic groups