论文标题
在较低的lie nilpotency指数
on the lower Lie nilpotency index of a group algebra
论文作者
论文摘要
在本文中，我们表明，如果$ kg $是谎言nilpotent group of $ g $在特征的特征$ p> 0 $上的$ g $，则$ t_ {l}（kg）= k $ if，仅在$ t^{l}（l}（kg）（kg）= k $的情况下$ t_ {l}（kg）$和$ t^{l}（kg）$分别是$ kg $的下部和上谎言nilpotency索引。
In this article, we show that if $KG$ is Lie nilpotent group algebra of a group $G$ over a field $K$ of characteristic $p>0$, then $t_{L}(KG)=k$ if and only if $t^{L}(KG)=k$, for $k\in\{5p-3, 6p-4\}$, where $t_{L}(KG)$ and $t^{L}(KG)$ are the lower and the upper Lie nilpotency indices of $KG$, respectively.
