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
收藏
页码：60 / 62
页数：3
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