Graphical small cancellation and hyperfiniteness of boundary actions
Abstract
Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence relation that they induce on the boundaries of the coned‐off Cayley graphs is hyperfinite.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Mathematical Dynamics and Fractals
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN