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- W2950204081 abstract "Dehornoy 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." @default.
- W2950204081 created "2019-06-27" @default.
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- W2950204081 date "2007-05-18" @default.
- W2950204081 modified "2023-09-27" @default.
- W2950204081 title "Densely ordered braid subgroups" @default.
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