Modular group algebra with upper Lie Nilpotency index $11p-9$

نویسندگان

1 Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur, India.

2 Department of Mathematics and Scientific Computing, MMM University of Technology, Gorakhpur

3 Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur, India.

doi
10.22034/as.2023.17039.1440
چکیده

Let $KG$ be the modular group algebra of a group $G$ over a field $K$ of characteristic $p>0$. Recently, we have seen the classification of group algebras $KG$ with upper Lie nilpotency index $t^{L}(KG)$ up to $10p-8$. In this paper, our aim is to classify the modular group algebra $KG$ with upper Lie nilpotency index $11p-9$, for $G'= \gamma_{2}(G)$ as an abelian group.