Dehornoy-like left orderings and isolated left orderings

作者：Ito Tetsuya^*

来源：Journal of Algebra, 2013, 374: 42-58.

DOI：10.1016/j.jalgebra.2012.10.016

• Orderable groups
• Dehornoy-like ordering
• Isolated ordering

We introduce a Dehornoy-like ordering of groups, which is a generalization of the Dehornoy ordering of the braid groups. Under an 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 orderings and isolated orderings and study their more precise properties.

• 出版日期2013-1-15