Horofunctions on graphs of linear growth
Metric Geometry
2017-07-28 v2 Combinatorics
Group Theory
Abstract
We prove that a linear growth graph has finitely many horofunctions. This provides a short and simple proof that any finitely generated infinite group of linear growth is virtually cyclic.
Keywords
Cite
@article{arxiv.1608.03727,
title = {Horofunctions on graphs of linear growth},
author = {Matthew Tointon and Ariel Yadin},
journal= {arXiv preprint arXiv:1608.03727},
year = {2017}
}
Comments
4 pages. Published in C. R. Math. Acad. Sci. Paris at http://www.sciencedirect.com/science/article/pii/S1631073X16302060