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math.GR2020
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.
math.GR2020
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…
math.GR2020★ 1 cited
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…