Quasi-hyperbolic planes in hyperbolic groups

47 citations recorded by the source corpus.

The hyperbolic plane H 2 admits a quasi-isometric embedding into every hyperbolic group which is not virtually free.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Combinatorial modulus, the Combinatorial Loewner Property, and Coxeter groups (2010, background): “Since ∂Φ is locally connected and nontrivial, it contains an arc X (see [BK05b]).”
The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity (2006, background): “If ∂X is connected, it is LLC ([4], [15], [58], [7]).”