1 citations · 1 across the 3 of their papers we have counts for
7 papers
Locally finite -groups with a left 3-Engel element whose normal closure is not nilpotent
Anastasia Hadjievangelou, Marialaura Noce, Gunnar Traustason
For any odd prime , we give an example of a locally finite -group containing a left 3-Engel element where is not nilpotent.
A family of fractal non-contracting weakly regular branch groups
Marialaura Noce
We construct a new family of groups that is non-contracting and weakly regular branch over the derived subgroup. This gives the first example of an infinite family of groups acting…
Algorithmic problems in Engel groups and cryptographic applications
Delaram Kahrobaei, Marialaura Noce
The theory of Engel groups plays an important role in group theory since these groups are closely related to the Burnside problems. In this survey we consider several classical and…
Engel elements in weakly branch groups
Gustavo A. Fernández-Alcober, Marialaura Noce, Gareth M. Tracey
We study properties of Engel elements in weakly branch groups, lying in the group of automorphisms of a spherically homogeneous rooted tree. More precisely, we prove that the set o…
Hausdorff dimension of the second Grigorchuk group
Marialaura Noce, Anitha Thillaisundaram
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is 43/128. Furthermore we establish that the second Grigorchuk group is super strongly fractal an…
A left -Engel element whose normal closure is not nilpotent
Marialaura Noce, Gareth M. Tracey, Gunnar Traustason
We give an example of a locally nilpotent group containing a left -Engel element where is not nilpotent.