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Group Algebras with Minimal Strong Lie Derived Length |
Canad. Math. Bull. 51(2008), 291-297
Published:2008-06-01
Printed: Jun 2008
Printed: Jun 2008
- Ernesto Spinelli
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 |