Small-cancellation groups with and without sigma-compact Morse boundary
Year: 2024
Type: article
Abstract: We provide examples of classical C'(1/6) -small-cancellation groups which have non- \sigma -compact Morse boundary. These are first known examples of groups with non- \sigma -compact Morse boundary. Some C'(1/6) -small-cancellation groups do have \sigma -compact Morse boundary, so this property distinguishes quasi-isometry types of small-cancellation groups. In fact, we give a complete description of when Morse boundaries of C'(1/6) -groups have \sigma -compact Morse boundary. We also provide examples of C'(1/6) -groups where all Morse rays are strongly contracting.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/837
Author: Stefanie Zbinden
Institution: Heriot-Watt University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403338014