Limit sets of relatively hyperbolic groups |
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Authors: | Email author" target="_blank">Wen-yuan?YangEmail author |
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Institution: | 1.College of Mathematics and Econometrics,Hunan University,Changsha,People’s Republic of China;2.U.F.R. de Mathematiques,Universite de Lille 1,Villeneuve D’Ascq Cedex,France |
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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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Keywords: | |
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