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arXiv · 0802.0709

Residual finiteness, QCERF, and fillings of hyperbolic groups

Ian Agol·Daniel Groves·Jason Fox Manning
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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.

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Ian Agol, Daniel Groves, Jason Fox Manning. 2008-03-10. Residual finiteness, QCERF, and fillings of hyperbolic groups. https://doi.org/10.2140/gt.2009.13.1043

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