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Jan 4, 2015 at 11:54 comment added HJRW @Pablo, I answered your question. It's still very unclear what happens to random groups at higher densities, which can't possibly be virtually special.
Jan 4, 2015 at 9:59 comment added Pablo In light of this, it seems plausible that, in a certain statistical sense (random group model), subgroup separability will be a property of almost all finitely presented groups (since these are almost always hyperbolic). I suspect that this is the case for Gromov's model with low density (say d < 1/5). I have already asked this in mathoverflow.net/questions/191965/… . Do you know of someone who can help with this?
Jan 3, 2015 at 22:52 vote accept Pablo
Jan 3, 2015 at 21:53 history answered HJRW CC BY-SA 3.0