On fixing boundary points of transitive hyperbolic graphs
Combinatorics
2011-06-30 v1
Abstract
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.
Cite
@article{arxiv.1106.5969,
title = {On fixing boundary points of transitive hyperbolic graphs},
author = {Agelos Georgakopoulos and Matthias Hamann},
journal= {arXiv preprint arXiv:1106.5969},
year = {2011}
}
Comments
9 pages