Residual finiteness, QCERF, and fillings of hyperbolic groups

Details Residual finiteness, QCERF, and fillings of hyperbolic groups Residual finiteness, QCERF, and fillings of hyperbolic groups

2008-02-05

arxiv.org/abs/0802.0709v2

Mathematics

Group Theory

(v1) 22 pages, 2 figures. (v2) 24 pages, 2 figures. An error in the proof and statement of the main technical lemma was correc

Scientific paper

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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