Solvable and Nilpotent Right Loops
  In this paper the notion of nilpotent right transversal and solvable right transversal has been defined. Further, it is proved that if a core-free subgroup has a generating solvable transversal or a generating nilpotent transversal, then the whole group is solvable. 
Vivek Kumar Jain and Vipul Kakkar
math.GR