Article ID Journal Published Year Pages File Type
4586479 Journal of Algebra 2011 12 Pages PDF
Abstract

We provide an infinite family of left-ordered groups that have a positive cone that is generated by two elements as a semigroup. This family corresponds to that of certain central extensions of Hecke groups, and includes the Klein bottle group and the braid group B3. Using the classical convex extension (flipping) procedure, on each of the groups of this family we define an ordering sharing many properties with Dehornoy's. Several related questions and problems are addressed.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory