Cryptographic multilinear maps using pro-p groups

<p style='text-indent:20px;'>In [<xref ref-type="bibr" rid="b18">18</xref>], the authors show how, to any nilpotent group of class <inline-formula><tex-math id="M2">\begin{document}$ n $\end{document}</tex-math></inline-formula>, one can associate a non-interactive key exchange protocol between <inline-formula><tex-math id="M3">\begin{document}$ n+1 $\end{document}</tex-math></inline-formula> users. The <i>multilinear</i> commutator maps associated to nilpotent groups play a key role in this protocol. In the present paper, we explore some alternative platforms, such as pro-<inline-formula><tex-math id="M4">\begin{document}$ p $\end{document}</tex-math></inline-formula> groups.</p>