## Cryptology ePrint Archive: Report 2005/110

Diffie-Hellman key exchange protocol and non-abelian nilpotent groups.

Ayan Mahalanobis

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.

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Date: received 7 Apr 2005, last revised 22 Apr 2005

Contact author: amahalan at fau edu

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Short URL: ia.cr/2005/110

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