Limit sets of relatively hyperbolic groups
Limit sets of relatively hyperbolic groups
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DOI：
10.1007/s10711-011-9586-z
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发表时间：
2011-02
影响因子：
0.5
通讯作者：
Wenze Yang
中科院分区：
文献类型：
--
作者：
Wenze Yang
本文证明了相对双曲群中的一个极限集交定理。我们的方法是基于对相对拟凸子群的动力学拟凸性的研究。利用动力拟凸性，在一般收敛群中得到了几何有限Kleinian群极限集的许多著名结果。我们还建立了具有非平凡弗洛伊德边界的非扭曲子群的动力学拟凸性。
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.