On fixing boundary points of transitive hyperbolic graphs |
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| Authors: | Agelos Georgakopoulos Matthias Hamann |
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| Institution: | 1. Technische Universit?t Graz, Steyrergasse 30, 8010, Graz, Austria
2. Fachbereich Mathematik, Universit?t Hamburg, Bundesstra?e 55, 20146, Hamburg, Germany
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| Abstract: | We show that there is no one-ended, locally finite, 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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