Groups with finitely many Busemann points
Group Theory
2023-05-04 v1 Metric Geometry
Abstract
We show that an infinite finitely generated group G is virtually-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.
Keywords
Cite
@article{arxiv.2305.02303,
title = {Groups with finitely many Busemann points},
author = {Liran Ron-George and Ariel Yadin},
journal= {arXiv preprint arXiv:2305.02303},
year = {2023}
}