The Groups $G_{n}^{k}$ and Fundamental Groups of Configuration Spaces
  We construct a map from fundamental groups of complements to some plane configurations to the groups $G_{n}^{k}$ for large $k$. We discuss connection between the groups $G_{n}^{k}$ for different $G_{n}^{k}$ and their geometric realization. 
Vassily Olegovich Manturov
math.GT