Groups with finitely many Busemann points

Liran Ron; Ariel Yadin

doi:10.4171/GGD/824

Groups with finitely many Busemann points

Liran Ron
, Ariel Yadin

Department of Mathematics

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

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.

Original language	English
Number of pages	13
Journal	Groups, Geometry, and Dynamics
DOIs	https://doi.org/10.4171/GGD/824
State	E-pub ahead of print - 12 Sep 2024

Access to Document

10.4171/GGD/824

Cite this

@article{1a12983842e144f889461317bc4bfad1,

title = "Groups with finitely many Busemann points",

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.",

author = "Liran Ron and Ariel Yadin",

year = "2024",

month = sep,

day = "12",

doi = "10.4171/GGD/824",

language = "English",

journal = "Groups, Geometry, and Dynamics",

issn = "1661-7207",

publisher = "European Mathematical Society Publishing House",

}

TY - JOUR

T1 - Groups with finitely many Busemann points

AU - Ron, Liran

AU - Yadin, Ariel

PY - 2024/9/12

Y1 - 2024/9/12

N2 - 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.

AB - 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.

U2 - 10.4171/GGD/824

DO - 10.4171/GGD/824

M3 - Article

SN - 1661-7207

JO - Groups, Geometry, and Dynamics

JF - Groups, Geometry, and Dynamics

ER -

Groups with finitely many Busemann points

Abstract

Access to Document

Fingerprint

Cite this