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.
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页码：374 / 385
页数：12
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