Hyperbolicity of uniquely geodesic group

Davide Spriano (U Oxford)

Jul 18. 2023, 11:28 — 11:38

A graph is uniquely geodesic if any two vertices are connected by a unique shortest path. Although an extremely natural notion, the question of which groups admit a locally finite Cayley graph with this property is still open. We show that such a group necessarily needs to be virtually free. This is joint work with M. Elder, G. Gardam, A. Piggott and K. Townsend.

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)