Abstract
We prove that if every hyperbolic group is residually finite, then every quasi-convex subgroup of every hyperbolic group is separable. The main tool is relatively hyperbolic Dehn filling.
Citation
Ian Agol. Daniel Groves. Jason Fox Manning. "Residual finiteness, QCERF and fillings of hyperbolic groups." Geom. Topol. 13 (2) 1043 - 1073, 2009. https://doi.org/10.2140/gt.2009.13.1043
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