Yazd University Algebraic Structures and Their Applications 2382-9761 11 2 2024 05 01 Modular group algebra with upper Lie Nilpotency index $11p-9$ 115 130 3140 10.22034/as.2023.17039.1440 EN Kuldeep Singh Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur, India. Harish Chandra Department of Mathematics and Scientific Computing, M. M. M. University of Technology, Gorakhpur, India. 0000-0001-5232-6043 Suchi Bhatt Department of Mathematics and Scientific Computing, MMM University of Technology, Gorakhpur Journal Article 2021 07 25 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. https://as.yazd.ac.ir/article_3140_0e120e88a591b8c728ff4cfbc9dc8b31.pdf