Exotic left orderings of the free groups from the Dehornoy ordering
classification
🧮 math.GR
keywords
freeorderingdehornoygroupleftappropriatebraidconvex
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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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