Limit sets of relatively hyperbolic groups
Group Theory
2011-03-18 v3 Geometric Topology
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.
Cite
@article{arxiv.1009.1647,
title = {Limit sets of relatively hyperbolic groups},
author = {Wen-yuan Yang},
journal= {arXiv preprint arXiv:1009.1647},
year = {2011}
}
Comments
12 pages. To appear Geometriae Dedicata. With an additional corollary 1.7