Heisenberg Groups as Platform for the AAG key-exchange protocol
  Garber, Kahrobaei, and Lam studied polycyclic groups generated by number field as platform for the AAG key-exchange protocol. In this paper, we discuss the use of a different kind of polycyclic groups, Heisenberg groups, as a platform group for AAG by submitting Heisenberg groups to one of AAG's major attacks, the length-based attack. 
Delaram Kahrobaei and Ha T.Lam
cs.CR math.GR