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arXiv · 1009.1647

Limit sets of relatively hyperbolic groups

Wen-yuan Yang
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Abstract

In this paper, we prove a limit set intersection theorem in relatively hyperbolic groups. Our approach is based on a study of dynamical quasiconvexity of relatively quasiconvex subgroups. Using dynamical quasiconvexity, many well-known results on limit sets of geometrically finite Kleinian groups are derived in general convergence groups. We also establish dynamical quasiconvexity of undistorted subgroups in finitely generated groups with nontrivial Floyd boundary.

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Wen-yuan Yang. 2010-09-08. Limit sets of relatively hyperbolic groups. https://doi.org/10.1007/s10711-011-9586-z

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