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Oct 2, 2016 at 1:22 vote accept stupid_question_bot
Oct 1, 2016 at 14:25 history edited Jeremy Rouse CC BY-SA 3.0
added 49 characters in body
Oct 1, 2016 at 14:11 comment added Ian Agol Claim 2 should follow (for $p$ sufficiently large) from the fact that there are reps. $SL_2(\mathbb{Z})\to SL_2(\mathbb{Z})$ which have infinite-index Zariski dense image (and some kind of strong approximation).
Oct 1, 2016 at 5:30 history answered Jeremy Rouse CC BY-SA 3.0