Abstract
We know that every element in an Alternating group An, n ≥ 5, can be written as a Engel word of length two (Carracedo, Extracta Math. 30(2), 251–262, 2015 and J. Algebra Appl. 16(2), 1750021, 10 p., 2017). There is a conjecture that every element in an Alternating group An, n ≥ 5, can be written as an Engel word of arbitrary length. We give here a computational approach to this problem, what allows to prove the conjecture for 5 ≤ n ≤ 14.
Original language | English |
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Title of host publication | Computational Mathematics, Numerical Analysis and Applications |
Subtitle of host publication | Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School |
Publisher | Springer Cham |
Volume | 13 |
Edition | 1 |
ISBN (Electronic) | 978-3-319-49631-3 |
ISBN (Print) | 978-3-319-49630-6 |
Publication status | Published (in print/issue) - 2017 |
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Dive into the research topics of 'A Computational Approach to Verbal Width in Alternating Groups'. Together they form a unique fingerprint.Profiles
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Jorge Martinez Carracedo
- School of Computing - Lecturer in Computer Science (Internet of Things
- Faculty Of Computing, Eng. & Built Env. - Lecturer
Person: Academic