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math.GR2003★ 1 cited
Quasi-hyperbolic planes in hyperbolic groups
Mario Bonk, Bruce Kleiner
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
math.GR1998
Hyperbolic groups with 1-dimensional boundary
Michael Kapovich, Bruce Kleiner
If a torsion-free hyperbolic group G has 1-dimensional boundary, then the boundary is a Menger curve or a Sierpinski carpet provided G does not split over a cyclic group. When the…