Cryptographic multilinear maps using pro-<i>p</i> groups

In [18], the authors show how, to any nilpotent group of class \begin{document}$ n $\end{document}, one can associate a non-interactive key exchange protocol between id="M3">\begin{document}$ n+1 $\end{document} users. The multilinear commutator maps associated groups play role in this protocol. In present paper, we explore some alternative platforms, such as pro-\begin{document}$ p groups.