M. Noce

activity

20182022

most citedAlgorithmic problems in Engel groups and cryptographic applications

1 citations · 2 across the 6 of their papers we have counts for

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math.GR2018

A left $3$ -Engel element whose normal closure is not nilpotent

Marialaura Noce, Gareth M. Tracey, Gunnar Traustason

We give an example of a locally nilpotent group $G$ containing a left $3$ -Engel element $x$ where $⟨ x ⟩^{G}$ is not nilpotent.

math.GR2018

A note on Engel elements in the first Grigorchuk group

Marialaura Noce, Antonio Tortora

Let $Γ$ be the first Grigorchuk group. According to a result of Bartholdi, the only left Engel elements of $Γ$ are the involutions. This implies that the set of left Engel elements…

A left 3-Engel element whose normal closure is not nilpotent

A note on Engel elements in the first Grigorchuk group

A left $3$ -Engel element whose normal closure is not nilpotent