On subset sum problem in branch groups

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 gr...

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Bibliographic Details
Main Authors: Andrey Nikolaev, Alexander Ushakov
Format: Article
Language:English
Published: Episciences 2020-06-01
Series:Groups, Complexity, Cryptology
Subjects:
Online Access:https://gcc.episciences.org/6541/pdf