Combination of fully quasiconvex subgroups and its applications
classification
🧮 math.GR
math.GT
keywords
relativelysubgroupsquasiconvexapplicationscombinationhyperboliccertainclosed
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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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