Group rings whose symmetric units are nilpotent

被引：7

作者：

Lee, Gregory T. ^{[1
]}

Milies, Cesar Polcino

Sehgal, Sudarshan K.

机构：

[1] Lakehead Univ, Dept Math Sci, Thunder Bay, ON P7B 5E1, Canada

[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05315970 Sao Paulo, Brazil

[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF GROUP THEORY | 2007年 / 10卷 / 05期

基金：

加拿大自然科学与工程研究理事会; 巴西圣保罗研究基金会;

关键词：

D O I：

10.1515/JGT.2007.050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an infinite field of characteristic different from 2, and G a group containing elements of infinite order. We classify the groups G such that the symmetric units of KG satisfy the identity (x(1), x(2), . . . , x(n)) = 1, for some n.

引用

页码：685 / 701

页数：17

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