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arXiv · 0906.4997

Exotic left orderings of the free groups from the Dehornoy ordering

Adam Clay
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Abstract

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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Adam Clay. 2009-10-25. Exotic left orderings of the free groups from the Dehornoy ordering. https://arxiv.org/abs/0906.4997

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