Horofunctions on graphs of linear growth

DOI10.1016/j.crma.2016.10.015zbMath1350.05181arXiv1608.03727OpenAlexW2963671997MaRDI QIDQ344320

Matthew C. H. Tointon, Ariel Yadin

Publication date: 22 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03727

zbMATH Keywords

linear growth graphvirtually cyclic group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Infinite graphs (05C63)

Related Items (5)

Independent finite automata on Cayley graphs ⋮ Iterated Minkowski sums, horoballs and north-south dynamics ⋮ Locally infinite graphs and symmetries ⋮ Hahn-Banach for metric functionals and horofunctions ⋮ Large, lengthy graphs look locally like lines

Cites Work

• Unnamed Item
• The action of a nilpotent group on its horofunction boundary has finite orbits.
• An effective bound for groups of linear growth
• A bound for groups of linear growth
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On Representatives of Subsets

This page was built for publication: Horofunctions on graphs of linear growth