Products of free groups in the unit group of integral group rings

被引：10

作者：

Jespers, E

Leal, G

delRio, A

机构：

[1] FED UNIV RIO DE JANEIRO, INST MATEMAT, BR-21945 RIO DE JANEIRO, BRAZIL

[2] UNIV MURCIA, DEPT MATEMAT, E-30071 MURCIA, SPAIN

来源：

JOURNAL OF ALGEBRA | 1996年 / 180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.1996.0050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the nilpotent finite groups G which are such that the unit group U(ZG) of the integral group ring ZG has a subgroup of finite index which is the direct product of noncyclic free groups. It is also shown that nilpotent finite groups having this property can be characterised by means of the Wedderburn decomposition of the rational group algebra QG. (C) 1996 Academic Press, Inc.

引用

页码：22 / 40

页数：19

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