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

Document Type : Research Paper

Authors

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

Abstract

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.

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References

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Algebraic Structures and Their Applications
Volume 11, Issue 1
February 2024
Pages 115-130

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