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Jan 4, 2015 at 11:49 comment added HJRW I think it's worth noting that my blog post appeared the week before Agol's preprint proving the virtual Haken conjecture (as explained in the subsequent blog post). As Yves says, this changed everything.
Jan 2, 2015 at 23:38 comment added Pablo @YCor is there a chance that in this model we also have subgroup separability (LERF) almost surely? or with positive probability?
Jan 2, 2015 at 16:41 comment added Igor Rivin @YCor Yves knows a lot more, so maybe he should post an answer :)
Jan 2, 2015 at 16:30 comment added YCor Yes it has changed a lot, because several random models (e.g. Gromov's model at low density) provides almost surely $C'(1/6)$ f.p. groups, which are residually finite by Agol's result (combined with the Haglund-Wise theory). This goes far beyond 3-manifold groups.
Jan 2, 2015 at 16:25 history answered Igor Rivin CC BY-SA 3.0