Modular group algebras of Lie nilpotency index 8p - 6

被引：5

作者：

Sahai, Meena ^{[1
]}

Sharan, Bhagwat ^{[1
]}

机构：

[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 03期

关键词：

Group algebras; Lie nilpotency index; Lie dimension subgroups;

D O I：

10.1142/S1793557118500390

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a group algebra KG of a group G over a field K of characteristic p > 0, it is well known that p + 1 is the minimal upper as well as the minimal lower Lie nilpotency index. Group algebras of upper Lie nilpotency index upto 7p - 5 have already been characterized completely. In this paper, we classify the modular group algebra KG having upper Lie nilpotency index 8p - 6 which is the possible next higher Lie nilpotency index.

引用

页数：11

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