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arXiv · 1703.07406

Subset sum problem in polycyclic groups

Andrey Nikolaev·Alexander Ushakov
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Abstract

We consider a group-theoretic analogue of the classic subset sum problem. It is known that every virtually nilpotent group has polynomial time decidable subset sum problem. In this paper we use subgroup distortion to show that every polycyclic non-virtually-nilpotent group has NP-complete subset sum problem.

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Andrey Nikolaev, Alexander Ushakov. 2017-03-21. Subset sum problem in polycyclic groups. https://arxiv.org/abs/1703.07406

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