Growth of relatively hyperbolic groups
نویسنده
چکیده
We show that a relatively hyperbolic group either is virtually cyclic or has uniform exponential growth. Mathematics Subject Classification(2000). 20F65.
منابع مشابه
Thick metric spaces , relative hyperbolicity , and quasi - isometric rigidity
We study the geometry of non-relatively hyperbolic groups. Generalizing a result of Schwartz, any quasi-isometric image of a non-relatively hyperbolic space in a relatively hyperbolic space is contained in a bounded neighborhood of a single peripheral subgroup. This implies that a group being relatively hyperbolic with non-relatively hyperbolic peripheral subgroups is a quasi-isometry invariant...
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We study the geometry of nonrelatively hyperbolic groups. Generalizing a result of Schwartz, any quasi-isometric image of a non-relatively hyperbolic space in a relatively hyperbolic space is contained in a bounded neighborhood of a single peripheral subgroup. This implies that a group being relatively hyperbolic with nonrelatively hyperbolic peripheral subgroups is a quasi-isometry invariant. ...
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تاریخ انتشار 2005