
We investigate the action of a group on a hyperbolic space in the sense of Gromov, where the subgroups are geometrically finite. Several well-known results about hyperbolic and free groups follow as special cases. The proofs are based on the induced action of groups on the boundary of hyperbolic spaces.
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, geometrically finite groups, geometrically finite, quasi-convex, Kleinian groups, quasi-isometry, group actions, hyperbolic groups, hyperbolic space, Computational Theory and Mathematics, Geometry and Topology, group action, Geometric group theory, quasi-convexity, Analysis, Hyperbolic spaces
Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces, geometrically finite groups, geometrically finite, quasi-convex, Kleinian groups, quasi-isometry, group actions, hyperbolic groups, hyperbolic space, Computational Theory and Mathematics, Geometry and Topology, group action, Geometric group theory, quasi-convexity, Analysis, Hyperbolic spaces
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