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Group Algebras with Minimal Strong Lie Derived Length
Ernesto Spinelli
Journal:

Canadian Mathematical Bulletin / Volume 51 / Issue 2 / 01 June 2008

Published online by Cambridge University Press:

20 November 2018, pp. 291-297

Print publication:

01 June 2008
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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 $\left\lceil {{\log }_{2}}(p\,+\,1) \right\rceil$.