Zassenhaus conjecture and infinite nilpotent groups

被引：3

作者：

Marciniak, ZS ^{[1
]}

Sehgal, SK ^{[1
]}

机构：

[1] UNIV ALBERTA,DEPT MATH SCI,EDMONTON,AB T6G 2G1,CANADA

来源：

JOURNAL OF ALGEBRA | 1996年 / 184卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jabr.1996.0256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Zassenhaus conjectured that any torsion unit in an integral group ring ZG of a finite group G is rationally conjugate to +/-g for some g is an element of G. This has been confirmed for all finite nilpotent groups. We prove that such a result does not hold for infinite nilpotent groups. (C) 1996 Academic Press, Inc.

引用

页码：207 / 212

页数：6

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