On the space of left-orderings of virtually solvable groups
  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 $SOL=\Z^2\rtimes_T\Z$. 
Crist\'obal Rivas and Romain Tessera
math.GR math.DS