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arxiv: 1106.5969 · v1 · pith:R4BZLVOGnew · submitted 2011-06-29 · 🧮 math.CO

On fixing boundary points of transitive hyperbolic graphs

classification 🧮 math.CO
keywords hyperbolicboundarygraphpointsactsanswerendedfixing
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We show that there is no 1-ended, planar, hyperbolic graph such that the stabilizer of one of its hyperbolic boundary points acts transitively on the vertices of the graph. This gives a partial answer to a question by Kaimanovich and Woess.

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