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