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

Authors

  • Adam Clay

Keywords:

Left-orderable groups, free groups, braid groups

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.

Published

2011-10-19

Issue

Section

Articles