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# Group Algebras with Minimal Strong Lie Derived Length

Published:2008-06-01
Printed: Jun 2008
• Ernesto Spinelli
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## Abstract

Let $KG$ be a non-commutative strongly Lie solvable group algebra of a group $G$ over a field $K$ of positive characteristic $p$. In this note we state necessary and sufficient conditions so that the strong Lie derived length of $KG$ assumes its minimal value, namely $\lceil \log_{2}(p+1)\rceil$.
 Keywords: group algebras, strong Lie derived length
 MSC Classifications: 16S34 - Group rings [See also 20C05, 20C07], Laurent polynomial rings 17B30 - Solvable, nilpotent (super)algebras