论文标题
在模块化组代数的谎言niltecenty指数上
On the Lie nilpotency index of modular group algebras
论文作者
论文摘要
让$ kg $是一个特征性$ p> 0 $的$ k $的任意集团$ g $的模块化组代数。可以看出，如果$ kg $是lies nilpotent，那么它的下部和上谎言nilpotency指数至少为$ p+1 $。与上lie nilpotency index $ t^{l}（kg）$最高$ 9p-7 $的组代数$ kg $的分类。在本文中，我们对上谎言nilpotency指数为$ 10p-8 $的模块化组代数$ kg进行了分类。
Let $KG$ be the modular group algebra of an arbitrary group $G$ over a field $K$ of characteristic $p>0$. It is seen that if $KG$ is Lie nilpotent, then its lower as well as upper Lie nilpotency index is at least $p+1$. The classification of group algebras $KG$ with upper Lie nilpotency index $t^{L}(KG)$ upto $9p-7$ have already been determined. In this paper, we classify the modular group algebra $KG$ for which the upper Lie nilpotency index is $10p-8$.
