Algorithmic problems in Engel groups and cryptographic applications

Document Type: Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019


1 Department of Computer Science Deramore Lane, University of York

2 Department of Mathematics (University of Salerno), Italy - Department of Mathematics and Statistic (University of the Basque Country), Spain



‎The theory of Engel groups plays an important role in group theory since these groups are closely related to the Burnside problems‎. ‎In this survey we consider several classical and novel algorithmic problems for Engel groups and propose several open problems‎. ‎We study these problems with a view towards applications to cryptography‎.


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