The action of groups on hyperbolic spaces (Q1917373)

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scientific article; zbMATH DE number 897473
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The action of groups on hyperbolic spaces
scientific article; zbMATH DE number 897473

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    The action of groups on hyperbolic spaces (English)
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    4 September 1996
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    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.
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    hyperbolic groups
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    Kleinian groups
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    quasi-convex
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    quasi-isometry
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    geometrically finite
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    group action
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    hyperbolic space
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