Exotic left orderings of the free groups from the Dehornoy ordering

Details Exotic left orderings of the free groups from the Dehornoy ordering Exotic left orderings of the free groups from the Dehornoy ordering

2009-06-26

arxiv.org/abs/0906.4997v2

Mathematics

Group Theory

8 pages, Proposition 3.2 has been removed due to an error in the proof. The main results of the paper are unchanged. Some typo

Scientific paper

We show that the restriction of the Dehornoy ordering to an appropriate free
subgroup of the three-strand braid group defines a left ordering of the free
group on k generators, k>1, that has no convex subgroups.

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