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Keywords = Engel words

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12 pages, 282 KiB  
Article
A Computational Approach to Verbal Width for Engel Words in Alternating Groups
by Jorge Martínez Carracedo
Symmetry 2019, 11(7), 877; https://doi.org/10.3390/sym11070877 - 3 Jul 2019
Viewed by 2225
Abstract
It is known that every element in the alternating group A n , with n 5 , can be written as a product of at most two Engel words of arbitrary length. However, it is still unknown if every element in an [...] Read more.
It is known that every element in the alternating group A n , with n 5 , can be written as a product of at most two Engel words of arbitrary length. However, it is still unknown if every element in an alternating group is an Engel word of Arbitrary length. In this paper, a different approach to this problem is presented, getting new results for small alternating groups. Full article
(This article belongs to the Special Issue Interactions between Group Theory, Symmetry and Cryptology)
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