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.
No takes yet. Share an insight, caveat, or question.
Ron-George et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: