4 papers · 1 filter
Free lattice ordered groups and the topology on the space of left orderings of a group
Adam Clay
For any left orderable group G, we recall from work of McCleary that isolated points in the space of left orderings correspond to basic elements in the free lattice ordered group o…
Exotic left orderings of the free groups from the Dehornoy ordering
Adam Clay
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…
Isolated points in the space of left orderings of a group
Adam Clay
Let G be a left orderable group and LO(G) the space of all left orderings. We investigate the circumstances under which a left ordering < of G can correspond to an isolated point i…
Densely ordered braid subgroups
Adam Clay, Dale Rolfsen
Dehornoy showed that the Artin braid groups are left-orderable. This ordering is discrete, but we show that, for the Dehornoy ordering, when restricted to certain natu…