Trivial units in group rings

被引：3

作者：

Farkas, DR ^{[1
]}

Linnell, PA ^{[1
]}

机构：

[1] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2000年 / 43卷 / 01期

关键词：

units; trace; finite conjugate subgroup;

D O I：

10.4153/CMB-2000-008-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be an arbitrary group and let U be a subgroup of the normalized units in ZG. We show that if U contains G as a subgroup of finite index, then U = G. This result can be used to give an alternative proof of a recent result of Marciniak and Sehgal on units in the integral group ring of a crystallographic group.

引用

页码：60 / 62

页数：3

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