G. Traustason

activity

20112024

most citedNilpotent symplectic alternating algebras I

9 citations · 19 across the 14 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.GR2020

Locally finite $p$ -groups with a left 3-Engel element whose normal closure is not nilpotent

Anastasia Hadjievangelou, Marialaura Noce, Gunnar Traustason

For any odd prime $p$ , we give an example of a locally finite $p$ -group $G$ containing a left 3-Engel element $x$ where $⟨ x ⟩^{G}$ is not nilpotent.

math.GR2020

Powerfully solvable and powerfully simple groups

Iker de las Heras, Gunnar Traustason

We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of po…

math.GR2020

Powerfully nilpotent groups of rank 2 or small order

Gunnar Traustason, James Williams

In this paper we continue the study of powerfully nilpotent groups. These are powerful $p$ -groups possessing a central series of a special kind. To each such group one can attach a…

math.GR2020

Left $3$ -Engel elements in groups of exponent $60$

Gareth Tracey, Gunnar Traustason

Let $G$ be a group and let $x \in G$ be a left $3$ -Engel element of order dividing $60$ . Suppose furthermore that $⟨ x ⟩^{G}$ has no elements of order $8$ , $9$ and $25$ .…

Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

Powerfully solvable and powerfully simple groups

Powerfully nilpotent groups of rank 2 or small order

Left 3-Engel elements in groups of exponent 60

Locally finite $p$ -groups with a left 3-Engel element whose normal closure is not nilpotent

Left $3$ -Engel elements in groups of exponent $60$