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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 group algebras, strong Lie derived length
MSC Classifications: 16S34, 17B30 show english descriptions Group rings [See also 20C05, 20C07], Laurent polynomial rings
Solvable, nilpotent (super)algebras
16S34 - Group rings [See also 20C05, 20C07], Laurent polynomial rings
17B30 - Solvable, nilpotent (super)algebras
 

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