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arXiv · 2305.02303

Groups with finitely many Busemann points

Liran Ron-George·Ariel Yadin
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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.

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Liran Ron-George, Ariel Yadin. 2023-05-03. Groups with finitely many Busemann points. https://arxiv.org/abs/2305.02303

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