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 tL(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′=γ2(G) as an abelian group.

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References

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Algebraic Structures and Their Applications
Volume 11, Issue 2
May 2024
Pages 115-130

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