Residual finiteness, QCERF, and fillings of hyperbolic groups
Group Theory
2014-11-11 v2 Geometric Topology
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.
Keywords
Cite
@article{arxiv.0802.0709,
title = {Residual finiteness, QCERF, and fillings of hyperbolic groups},
author = {Ian Agol and Daniel Groves and Jason Fox Manning},
journal= {arXiv preprint arXiv:0802.0709},
year = {2014}
}
Comments
(v1) 22 pages, 2 figures. (v2) 24 pages, 2 figures. An error in the proof and statement of the main technical lemma was corrected, and some other small corrections and clarifications were made