On the Lie nilpotency index of modular group algebras

2020/07/28 by Bhatt, Suchi, Chandra, Harish
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2007.14104

Abstract

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.

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