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arXiv · 2006.03470

On subset sum problem in branch groups

Andrey Nikolaev·Alexander Ushakov
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Abstract

We consider a group-theoretic analogue of the classic subset sum problem. In this brief note, we show that the subset sum problem is NP-complete in the first Grigorchuk group. More generally, we show NP-hardness of that problem in weakly regular branch groups, which implies NP-completeness if the group is, in addition, contracting.

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BibTeXRIS

Andrey Nikolaev, Alexander Ushakov. 2020-06-04. On subset sum problem in branch groups. https://doi.org/10.46298/jgcc.2020.12.1.6541

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