On fixing boundary points of transitive hyperbolic graphs

Details On fixing boundary points of transitive hyperbolic graphs On fixing boundary points of transitive hyperbolic graphs

2011-06-29

arxiv.org/abs/1106.5969v1

Mathematics

Combinatorics

9 pages

Scientific paper

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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