Can I read Left $3$-Engel elements in groups of exponent $60$ on EtoBox?

Left $3$-Engel elements in groups of exponent $60$ by Tracey, Gareth; Traustason, Gunnar is a scholarly article available to read on EtoBox.

What is Left $3$-Engel elements in groups of exponent $60$ about?

Let $G$ be a group and let $x\in G$ be a left $3$-Engel element of order dividing $60$. Suppose furthermore that $\langle x\rangle^{G}$ has no elements of order $8$, $9$ and $25$. We show that $x$ is then contained in the locally nilpotent radical of $G$. In particular all the left $3$-Engel elements of a group of exponent $60$ are contained in the locally nilpotent radical.

Author

Tracey, Gareth; Traustason, Gunnar

Published

2020

Language

EN