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Feb 22, 2012 at 23:16 history edited Vladimir Dotsenko CC BY-SA 3.0
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Feb 22, 2012 at 23:06 answer added Ronnie Brown timeline score: 1
Feb 22, 2012 at 20:01 comment added zeb You are probably right - I just remembered seeing papers about orderable groups that mentioned several orderings of the free group, and assumed it was a well understood topic.
Feb 22, 2012 at 18:28 answer added Jeremiah Johnson timeline score: 3
Feb 17, 2012 at 15:27 comment added Vladimir Dotsenko P.S. Of course I also saw some examples of orderings for the free groups, but I don't think that I saw anything remotely similar to even a discussion of a question of classification. However, I am sure there are things I overlooked, and I would be happy to have a precise pointer (alas that "plenty of literature" you are referring to seems to be somewhat elusive).
Feb 17, 2012 at 15:11 comment added Vladimir Dotsenko I would be much obliged if you could be a little bit more precise than that and point me to some literature discussing this question. What I was able to find out so far were some papers where right orderings were discussed, and some other papers discussing orderings of groups which are very far from free.
Feb 17, 2012 at 14:49 comment added zeb Any ordering of the free group gives a noncommutative monomial ordering. There is plenty of literature on orderings of the free group, so that might be a good place to get started.
Feb 17, 2012 at 13:21 history asked Vladimir Dotsenko CC BY-SA 3.0