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Group Algebras with Minimal Strong Lie Derived Length

Published online by Cambridge University Press:  20 November 2018

Ernesto Spinelli
Ernesto Spinelli*
Affiliation:
Dipartimento di Matematica “E. De Giorgi”, Università degli Studi di Lecce, 73100-Lecce, Italy e-mail: ernesto.spinelli@unile.it
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Abstract

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

Keywords

16S3417B30group algebrasstrong Lie derived length
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 2 , 01 June 2008 , pp. 291 - 297
Copyright
Copyright © Canadian Mathematical Society 2008

References

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