Group algebras whose Lie algebra of skew-symmetric elements is nilpotent

被引：0

作者：

Giambruno, A. ^{[1
]}

Sehgal, S. K. ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo, Italy

来源：

Groups, Rings and Algebras | 2006年 / 420卷

关键词：

group ring; involution; Lie nilpotent;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let FG be the group algebra of a group G over a field F and let L(FG) be the Lie algebra of skew-symmetric elements under the natural involution induced by g -> g(-1). We classify the groups G for which L(FG) is Lie nilpotent when char F not equal 2.

引用

页码：113 / 120

页数：8

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