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Sep 29, 2015 at 12:40 comment added NWMT As for my cryptic comment about "most of these groups" I thought: "Take a subgroup H. It gets a hierarchy. At the bottom everything is free. We glue everything back quasiconvexly. Presto!" Mapping tori of free group automorphisms already give a counterexample. This Brady result is also interesting though, because it shows it's not just a free group thing. I'll look it up.
Sep 29, 2015 at 12:31 comment added NWMT Thank you. This is a great answer. The Martinez-Pedroza paper is what I was looking for. Your opinion on the relationionship bewteen coherence and separability is also interesting (for some reason I thought it would be the other way around.)
Sep 29, 2015 at 12:24 vote accept NWMT
Sep 29, 2015 at 10:40 history answered HJRW CC BY-SA 3.0