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Groups with a finite Busemann boundary are virtually cyclic
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric-functional boundary.
We show that, if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Together with previous works, this completes the full characterization of groups with finite metric-functional boundaries.
The main new notion introduced is that of annihilators.
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