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arXiv · 1403.4153

A family of polycyclic groups over which the uniform conjugacy problem is NP-complete

Bren Cavallo·Delaram Kahrobaei
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Abstract

In this paper we study the conjugacy problem in polycyclic groups. Our main result is that we construct polycyclic groups $G_n$ whose conjugacy problem is at least as hard as the subset sum problem with $n$ indeterminates. As such, the conjugacy problem over the groups $G_n$ is NP-complete where the parameters of the problem are taken in terms of $n$ and the length of the elements given on input.

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Bren Cavallo, Delaram Kahrobaei. 2014-10-20. A family of polycyclic groups over which the uniform conjugacy problem is NP-complete. https://doi.org/10.1142/s0218196714500234

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