Densely ordered braid subgroups

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dc.creatorClay, Adam
dc.creatorRolfsen, Dale
dc.date2007-05-18
dc.date.accessioned2026-07-07T08:02:13Z
dc.date.available2026-07-07T08:02:13Z
dc.descriptionDehornoy showed that the Artin braid groups $B_n$ are left-orderable. This ordering is discrete, but we show that, for $n >2$ the Dehornoy ordering, when restricted to certain natural subgroups, becomes a dense ordering. Among subgroups which arise are the commutator subgroup and the kernel of the Burau representation (for those $n$ for which the kernel is nontrivial). These results follow from a characterization of least positive elements of any normal subgroup of $B_n$ which is discretely ordered by the Dehornoy ordering.
dc.identifierhttps://arxiv.org/abs/0705.2623
dc.identifierhttp://arxiv.org/abs/0705.2623
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129159
dc.subjectGroup Theory
dc.subjectAlgebraic Topology
dc.subject20F36; 20F60
dc.titleDensely ordered braid subgroups
dc.typetext

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