Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups

被引：3

作者：

Linnell, Peter A. ^{[1
]}

Puninski, Gena

Smith, Patrick

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

[3] Univ Glasgow, Dept Math, Glasgow, Lanark, Scotland

来源：

JOURNAL OF ALGEBRA | 2006年 / 305卷 / 02期

基金：

美国国家科学基金会;

关键词：

nonfinitely generated projective module; idempotent ideal; integral group ring; polycyclic-by-finite group;

D O I：

10.1016/j.jalgebra.2005.12.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every nonfinitely generated projective module over the integral group ring of a polycyclic-by-finite group G is free if and only if G is polycyclic. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：845 / 858

页数：14

共 3 条

[1] On isomorphisms between centers of integral group rings of finite groups
Hertweck, Martin
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (05) : 1539 - 1547
[2] From Farey symbols to generators for subgroups of finite index in integral group rings of finite groups
Dooms, Ann
Jespers, Eric
Konovalov, Alexander
JOURNAL OF K-THEORY, 2010, 6 (02) : 263 - 283
[3] Unit groups of integral finite group rings with no noncyclic abelian finite p-subgroups
Hertweck, Martin
COMMUNICATIONS IN ALGEBRA, 2008, 36 (09) : 3224 - 3229

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