G. Traustason

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20112024

most citedNilpotent symplectic alternating algebras I

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

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Showing 2018 · math.GRShow all

3 papers · 2 filters

math.GR2018

A left $3$ -Engel element whose normal closure is not nilpotent

Marialaura Noce, Gareth M. Tracey, Gunnar Traustason

We give an example of a locally nilpotent group $G$ containing a left $3$ -Engel element $x$ where $⟨ x ⟩^{G}$ is not nilpotent.

math.GR2018

Powerfully nilpotent groups

Gunnar Traustason, James Williams

We introduce a special class of powerful $p$ -groups that we call powerfully nilpotent groups that are finite $p$ -groups that possess a central series of a special kind. To these we…

math.GR2018★ 4 cited

Right Engel-type subgroups and length parameters of finite groups

E. I. Khukhro, P. Shumyatsky, G. Traustason

Let $g$ be an element of a finite group $G$ and let $R_{n} (g)$ be the subgroup generated by all the right Engel values $[g,_{n} x]$ over $x \in G$ . In the case when $G$ is soluble…

A left 3-Engel element whose normal closure is not nilpotent

Powerfully nilpotent groups

Right Engel-type subgroups and length parameters of finite groups

A left $3$ -Engel element whose normal closure is not nilpotent