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G&T Monographs |
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Residual finiteness, QCERF and fillings of hyperbolic
groups
Ian Agol, Daniel Groves and Jason Fox Manning
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Geometry & Topology 13 (2009)
1043–1073
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Abstract
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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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Keywords
hyperbolic group, quasiconvex subgroup,
residually finite, LERF
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Mathematical Subject Classification
Primary: 20E26, 20F65, 20F67
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Publication
Received: 10 March 2008
Accepted: 4 January 2009
Published: 21 January 2009
Proposed: Benson Farb
Seconded: Mike Freedman, Walter Neumann
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