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Aug 18, 2015 at 15:54 comment added YCor Yes, no need. The Burnside result is a 1-generator version of Tits' alternative and could be called the Burnside alternative (any linear group is either locally finite or contains an infinite cyclic subgroup).
Aug 18, 2015 at 14:11 comment added Yiftach Barnea No need for the Tits alternative it follows from Burnside's original result.
Aug 18, 2015 at 11:36 comment added Jason Starr That is a beautiful answer. Are you using the Tits alternative to conclude local finiteness?
Aug 17, 2015 at 23:15 vote accept Yiftach Barnea
Aug 17, 2015 at 22:57 history answered YCor CC BY-SA 3.0