English

A remarkable family of left ordered groups: central extensions of Hecke groups

Group Theory 2010-10-26 v3 Geometric Topology

Abstract

We provide an infinite family of left-ordered groups, all of which have a positive cone that is finitely generated as a semigroup. This family includes the Klein bottle group and the braid group B_3.

Keywords

Cite

@article{arxiv.0909.4994,
  title  = {A remarkable family of left ordered groups: central extensions of Hecke groups},
  author = {Andrés Navas},
  journal= {arXiv preprint arXiv:0909.4994},
  year   = {2010}
}

Comments

Minor corrections suggested by the referee. To appear in Journal of Algebra