Modular group algebra with upper Lie Nilpotency index ۱۱p-۹

Let KG be the modular group algebra of a group G over a field K of characteristic p>۰. Recently, we have seen the classification of group algebras KG with upper Lie nilpotency index t^{L}(KG) up to ۱۰p-۸. In this paper, our aim is to classify the modular group algebra KG with upper Lie nilpotency index ۱۱p-۹, for G'= \gamma_{۲}(G) as an abelian group.

کلیدواژه ها:

Dimension subgroups ، Group algebras ، Lie nilpotency index