Lie properties of crossed products

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

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Veröffentlicht in:arXiv.org 2008-07
Hauptverfasser: Bovdi, Adalbert, Grishkov, Alexander
Format: Artikel
Sprache:eng
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Zusammenfassung:Let \(F^\lambda_{\sigma} [G]\) be a crossed product of a group \(G\) and the field \(F\). We study the Lie properties of \(F^\lambda_{\sigma} [G]\) in order to obtain a characterization of those crossed products which are upper (lower) Lie nilpotent and Lie \((n,m)\)-Engel.
ISSN:2331-8422