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May 30, 2010 at 8:31 vote accept Sergei Ivanov
May 30, 2010 at 0:55 comment added Victor Protsak Sergei: The fact that cocompact lattices exist doesn't just follow from abstract nonsense type arguments, in fact, Margulis showed that they don't exist for some homogeneous spaces $G/H$ with semisimple $G$ and non-compact $H.$ So some version of Borel and Harish-Chandra is necessary (if I'm not mistaken, the mere existence part is due to Borel alone).
May 29, 2010 at 23:55 answer added Ian Agol timeline score: 11
May 29, 2010 at 23:08 comment added Sergei Ivanov Thanks! One stupid little thing remains: why do co-compact subgroups exist?
May 29, 2010 at 22:44 answer added coudy timeline score: 3
May 29, 2010 at 22:23 comment added Greg Kuperberg Malcev's theorem: Every finitely generated group of matrices is residually finite.
May 29, 2010 at 22:20 history asked Sergei Ivanov CC BY-SA 2.5