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Group Algebras with Minimal Strong Lie Derived Length
Published online by Cambridge University Press: 20 November 2018
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 $\left\lceil {{\log }_{2}}(p\,+\,1) \right\rceil$.
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- Copyright © Canadian Mathematical Society 2008
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