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.GR2021
Left 3-Engel Elements in Locally Finite 2-Groups
Anastasia Hadjievangelou, Gunnar Traustason
We give an infinite family of examples that generalise the construction given in arXiv:1811.12074 of a locally finite 2-group containing a left 3-Engel element where ${\lan…