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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