On the lower Lie nilpotency index of a group algebra.

Autor:	Sahai, Meena, Sharan, Bhagwat
Předmět:	GROUP algebras NILPOTENT Lie groups NILPOTENT groups
Zdroj:	QM - Quaestiones Mathematicae; Nov 2021, Vol. 44 Issue 10, p1347-1354, 8p
Abstrakt:	In this article, we show that if KG is a Lie nilpotent group algebra of a group G over a field K of characteristic p > 0, then tL(KG) = k if and only if tL(KG) = k, for k ∈ {5p − 3, 6p − 4}, where tL(KG) and tL(KG) are the lower and the upper Lie nilpotency indices of KG, respectively. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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