English

On the space of left-orderings of virtually solvable groups

Group Theory 2013-03-25 v3 Dynamical Systems

Abstract

We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the space of left-orderings of SOL=Z2TZSOL=\Z^2\rtimes_T\Z.

Keywords

Cite

@article{arxiv.1209.3251,
  title  = {On the space of left-orderings of virtually solvable groups},
  author = {Cristóbal Rivas and Romain Tessera},
  journal= {arXiv preprint arXiv:1209.3251},
  year   = {2013}
}

Comments

17 pages