%0 Journal Article %T Exotic left orderings of the free groups from the Dehornoy ordering %A Adam Clay %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0906.4997v2