Combination of fully quasiconvex subgroups and its applications

2012/05/14 by Wenyuan Yang, Yang, Wenyuan · 1 citation
Mathematics · #20F65 #20F67 (Primary) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT #msc:20F65 #msc:20F67

paper · pdf · doi:10.48550/arxiv.1205.2994

25 pages, 3 figures. New added Cor. 1.5 about the existence of closed surface groups in relatively hyperbolic groups

arxiv created 2012/12/28 · arxiv updated 2013/01/01

Abstract

In this paper, we state two combination theorems for relatively quasiconvex subgroups in a relatively hyperbolic group. Applications are given to the separability of double cosets of certain relatively quasiconvex subgroups and the existence of closed surface subgroups in relatively hyperbolic groups.

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