3 papers
math.GR2023
Left -Engel elements in groups: A survey
Anastasia Hadjievangelou, Patrizia Longobardi, Mercede Maj +3
We survey left 3-Engel elements in groups.
math.GR2023
Sandwich groups and (strong) left 3-Engel elements in groups
Anastasia Hadjievangelou, Gunnar Traustason
In this paper we prove a group theoretic analogue of the well known local nilpotence theorem for sandwich Lie algebras due to Kostrikin and Zel'manov. We introduce the notion of a…
math.GR2023
Powerful 3-Engel groups
Iker de las Heras, Marialaura Noce, Gunnar Traustason
In this paper we study powerful 3-Engel groups. In particular, we find sharp upper bounds for the nilpotency class of powerful 3-Engel groups and the subclass of powerful metabelia…