Lie properties of crossed products

Abstract

Let $F_{\sigma }^{\lambda }[G]$ be a crossed product of a group $G$ and the field $F$. We study the Lie properties of $F_{\sigma }^{\lambda }[G]$ in order to obtain a characterization of those crossed products which are upper (lower) Lie nilpotent and Lie $(n,m)$-Engel.

14 pages