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On fixing boundary points of transitive hyperbolic graphs
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Georgakopoulos, Agelos and Hamann, Matthias (2012) On fixing boundary points of transitive hyperbolic graphs. Archiv der Mathematik, Vol.99 (No.1). pp. 91-99. doi:10.1007/s00013-012-0390-2 ISSN 0003-889X.
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Official URL: http://dx.doi.org/10.1007/s00013-012-0390-2
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Archiv der Mathematik | ||||
Publisher: | Birkhaeuser Verlag AG | ||||
ISSN: | 0003-889X | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.99 | ||||
Number: | No.1 | ||||
Page Range: | pp. 91-99 | ||||
DOI: | 10.1007/s00013-012-0390-2 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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