Groups with finitely many Busemann points
Year: 2024
Type: article
Abstract: We show that an infinite finitely generated group G is virtually \mathbb{Z} if and only if every Cayley graph of G contains only finitely many Busemann points in its horofunction boundary. This complements a previous result of the second named author and M. Tointon.
Source: Groups Geometry and Dynamics
DOI: 10.4171/ggd/824
Authors: Liran Ron-George, Ariel Yadin
Institution: Ben-Gurion University of the Negev
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402491356