# Criterion for Cannon’s Conjecture

@article{Markovi2012CriterionFC, title={Criterion for Cannon’s Conjecture}, author={Vladimir Markovi{\'c}}, journal={Geometric and Functional Analysis}, year={2012}, volume={23}, pages={1035-1061} }

The Cannon Conjecture from the geometric group theory asserts that a word hyperbolic group that acts effectively on its boundary, and whose boundary is homeomorphic to the 2-sphere, is isomorphic to a Kleinian group. We prove the following Criterion for Cannon’s Conjecture: a hyperbolic group G (that acts effectively on its boundary) whose boundary is homeomorphic to the 2-sphere is isomorphic to a Kleinian group if and only if every two points in the boundary of G are separated by a quasi…

## 22 Citations

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