Geodesic
Group Algebras with Minimal Strong Lie Derived Length
Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 291-297

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DOI

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 $\left\lceil {{\log }_{2}}(p\,+\,1) \right\rceil$ .
DOI : 10.4153/CMB-2008-029-0
Mots-clés : 16S34, 17B30, group algebras, strong Lie derived length 
Spinelli, Ernesto. Group Algebras with Minimal Strong Lie Derived Length. Canadian mathematical bulletin, Tome 51 (2008) no. 2, pp. 291-297. doi: 10.4153/CMB-2008-029-0
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     author = {Spinelli, Ernesto},
     title = {Group {Algebras} with {Minimal} {Strong} {Lie} {Derived} {Length}},
     journal = {Canadian mathematical bulletin},
     pages = {291--297},
     year = {2008},
     volume = {51},
     number = {2},
     doi = {10.4153/CMB-2008-029-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-029-0/}
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