Unrestricted virtual braids, fused links and other quotients of virtual   braid groups
  We consider the group of unrestricted virtual braids, describe its structure and explore its relations with fused links. Also, we define the groups of flat virtual braids and virtual Gauss braids and study some of their properties, in particular their linearity. 
Valeriy Bardakov, Paolo Bellingeri, Celeste Damiani
math.GT