Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups
نویسندگان
چکیده
منابع مشابه
Relatively hyperbolic groups: geometry and quasi-isometric invariance
In this paper it is proved that relative hyperbolicity is an invariant of quasi-isometry. As a byproduct we provide simplified definitions of relative hyperbolicity in terms of the geometry of a Cayley graph. In particular we obtain a definition very similar to the one of hyperbolicity, relying on the existence for every quasi-geodesic triangle of a central left coset of peripheral subgroup.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2013
ISSN: 1435-9855
DOI: 10.4171/jems/417