# Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary

@article{Bonk2005ConformalDA, title={Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary}, author={Mario Bonk and Bruce Kleiner}, journal={Geometry \& Topology}, year={2005}, volume={9}, pages={219-246} }

Suppose G is a Gromov hyperbolic group, and @1G is quasisymmetrically homeomorphic to an Ahlfors Q–regular metric 2–sphere Z with Ahlfors regular conformal dimension Q. Then G acts discretely, cocompactly, and isometrically on H 3 .

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