9 citations · 19 across the 14 of their papers we have counts for
14 papers · 1 filter
Elements of prime order in the upper central series of a group of prime-power order
A. Caranti, C. M. Scoppola, Gunnar Traustason
We investigate the occurrence of elements of order in the upper central series of a finite -group.
Left -Engel elements in groups: A survey
Anastasia Hadjievangelou, Patrizia Longobardi, Mercede Maj +3
We survey left 3-Engel elements in groups.
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…
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…
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…
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.