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Limit sets of relatively hyperbolic groups

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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 boundaries.

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Authors and Affiliations

  1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, 410082, People’s Republic of China

    Wen-yuan Yang

  2. U.F.R. de Mathematiques, Universite de Lille 1, 59655, Villeneuve D’Ascq Cedex, France

    Wen-yuan Yang

Authors
  1. Wen-yuan Yang
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Correspondence to Wen-yuan Yang.

Additional information

The author is supported by the China-funded Postgraduates Studying Aboard Program for Building Top University. This research was supported by National Natural Science Foundation of China (No. 11071059).

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Yang, Wy. Limit sets of relatively hyperbolic groups. Geom Dedicata 156, 1–12 (2012). https://doi.org/10.1007/s10711-011-9586-z

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  • DOI: https://doi.org/10.1007/s10711-011-9586-z

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