Abstract
Considering the relation between the Engel lengths of elements and their product, we give a counterexample to Question 11.88 in the “Kourovka Notebook” [1].
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References
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The author was supported by the Russian Foundation for Basic Research (Grant 03-01-00320).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 69–72, January–February, 2006.
Original Russian Text Copyright © 2006 Dolbak L. V.
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Dolbak, L.V. The Engel Length of the Product of Engel Elements. Sib Math J 47, 55–57 (2006). https://doi.org/10.1007/s11202-006-0006-9
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DOI: https://doi.org/10.1007/s11202-006-0006-9