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Dehornoy-like left orderings and isolated left orderings

By Tetsuya Ito

Abstract

We introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy ordering of the braid groups. Under a weak assumption which we call Property F, we show that Dehornoy-like orderings have properties similar to the Dehornoy ordering, and produce isolated left orderings. We also construct new examples of Dehornoy-like ordering and isolated orderings and study their more precise properties.Comment: 17 pages, 2 figure

Topics: Mathematics - Group Theory, 20F60
Year: 2011
DOI identifier: 10.1016/j.jalgebra.2012.10.016
OAI identifier: oai:arXiv.org:1102.4669
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