on the lower Lie nilpotency index of a group algebra

2020/05/30 by Sahai, Meena, Sharan, Bhagwat
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2006.00287

Abstract

In this article, we show that if KG is Lie nilpotent group algebra of a group G over a field K of characteristic p>0, then t_L(KG)=k if and only if t^L(KG)=k, for k∈\5p-3, 6p-4\, where t_L(KG) and t^L(KG) are the lower and the upper Lie nilpotency indices of KG, respectively.

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