Third homology of general linear groups over rings with many units

被引：5

作者：

Mirzaii, Behrooz ^{[1
]}

机构：

[1] Inst Adv Studies Basic Sci, Dept Math, Zanjan, Iran

来源：

JOURNAL OF ALGEBRA | 2012年 / 350卷 / 01期

关键词：

K-theory; Homology of groups; General linear groups;

D O I：

10.1016/j.jalgebra.2011.09.043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a commutative ring R with many units, we describe the kernel of H-3(inc) : H-3(GL(2)(R), Z) -> H-3(GL(3)(R), Z). Moreover we show that the elements of this kernel are of order at most two. As an application we study the indecomposable part of K-3(R). (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：374 / 385

页数：12

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