Groups with finitely many Busemann points

We show that an infinite finitely generated group G is virtually \mathbb{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.

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Publication Details

Journal
Groups Geometry and Dynamics
Published
2024-09-12
DOI
https://doi.org/10.4171/ggd/824
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
1.01
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article

Groups with finitely many Busemann points

Ariel Yadin, Liran Ron-George
1 citations
Groups Geometry and Dynamics
Geometric and Algebraic Topology
1.01
article

Groups with finitely many Busemann points

Ariel Yadin, Liran Ron-George
article en
1 citations

Abstract

We show that an infinite finitely generated group G is virtually \mathbb{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.

Groups Geometry and DynamicsVol. 20(2)
Ben-Gurion University of the Negev (IL)
Openalex Percentile: Top 25%
Geometric and Algebraic Topology
1.01
DOIOpen Access PDFOpenAlex
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Groups with finitely many Busemann points — Ariel Yadin, Liran Ron-George · Groups Geometry and Dynamics (2024) | TGRS Research Map | TGRS