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Oct 4, 2011 at 8:27 comment added S. Carnahan Agol: I think your comment would make a good answer.
Oct 3, 2011 at 0:48 comment added Ian Agol A slightly older reference which applies in your case is a result of Long: ams.org/mathscinet-getitem?mr=898729 Also to clarify, these techniques only apply in the case of finite-volume manifolds with totally geodesic boundary: I'm not sure what is known in the case of infinitely generated groups.
Oct 2, 2011 at 15:44 comment added Ian Agol This follows from peripheral separability of incompressible surfaces in the boundary of a compact 3-manifold: ams.org/mathscinet-getitem?mr=1109662
Oct 2, 2011 at 15:37 history asked strygwyr CC BY-SA 3.0