arXiv Analytics

Sign in

arXiv:0802.0709 [math.GR]AbstractReferencesReviewsResources

Residual finiteness, QCERF, and fillings of hyperbolic groups

Ian Agol, Daniel Groves, Jason Fox Manning

Published 2008-02-05, updated 2008-03-10Version 2

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.

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
Categories: math.GR, math.GT
Subjects: 20F65, 20F67, 20E26
Related articles: Most relevant | Search more
arXiv:math/0608685 [math.GR] (Published 2006-08-28, updated 2009-07-29)
On the residual finiteness of outer automorphisms of relatively hyperbolic groups
arXiv:math/0301267 [math.GR] (Published 2003-01-23)
Quasi-hyperbolic planes in hyperbolic groups
arXiv:2303.09852 [math.GR] (Published 2023-03-17)
Rationality of the Gromov Boundary of Hyperbolic Groups

Links

Toolbox