A Characterization of Cocompact Hyperbolic and Finite-volume Hyperbolic Groups in Dimension Three
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چکیده
We show that a cocompact hyperbolic group in dimension 3 is characterized by certain properties of its word metric which depend only on the group structure and not on any action on hyperbolic space. We prove a similar theorem for finite-volume hyperbolic groups in dimension 3.
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تاریخ انتشار 2009