Horofunctions on graphs of linear growth

Matthew C.H. Tointon; Ariel Yadin

doi:10.1016/j.crma.2016.10.015

Horofunctions on graphs of linear growth

Matthew C.H. Tointon
, Ariel Yadin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	1151-1154
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	12
DOIs	https://doi.org/10.1016/j.crma.2016.10.015
State	Published - 1 Dec 2016

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2016.10.015

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title = "Horofunctions on graphs of linear growth",

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.",

author = "Tointon, \{Matthew C.H.\} and Ariel Yadin",

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year = "2016",

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doi = "10.1016/j.crma.2016.10.015",

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AU - Yadin, Ariel

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AB - 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.

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DO - 10.1016/j.crma.2016.10.015

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EP - 1154

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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ER -

Horofunctions on graphs of linear growth

Abstract

ASJC Scopus subject areas

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