The Diffie-Hellman Key Exchange Protocol and non-abelian nilpotent groups

Abstract

In this paper we study a key exchange protocol similar to Diffie-Hellman key exchange protocol using abelian subgroups of the automorphism group of a non-abelian nilpotent group. We also generalize group no.92 of Hall-Senior table \cite{halltable}, for arbitrary prime $p$ and show that for those groups, the group of central automorphisms commute. We use these for the key exchange we are studying.

Finally got accepted. The final version. To appear, Israel Journal of Mathematics

References in corpus (1)

• On the holomorph of a discrete group

Cited by in corpus (1)

• Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups