Lie properties of crossed products

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

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