A note on Engel elements in the first Grigorchuk group

Let $Gamma$ be the first Grigorchuk group‎. ‎According to a result of Bar-thol-di‎, ‎the only left Engel elements of $Gamma$ are the involutions‎. ‎This implies that the set of left Engel elements of $Gamma$ is not a subgroup‎. ‎The natural question arises whether this is also the case for the sets...

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Bibliographic Details
Main Authors: Marialaura Noce, Antonio Tortora
Format: Article
Language:English
Published: University of Isfahan 2019-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_22725_55618dd0d66c94f763a4a6c2edb40de4.pdf