Residual finiteness, QCERF, and fillings of hyperbolic groups
classification
🧮 math.GR
math.GT
keywords
hyperboliceverygroupdehnfillingfillingsfinitefiniteness
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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.
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