Third homology of general linear groups over rings with many units

JOURNAL OF ALGEBRA

卷:350

Article

Mirzaii, Behrooz

关键词: K-theory;    Homology of groups;    General linear groups;   

DOI  :  10.1016/j.jalgebra.2011.09.043

来源: Elsevier

【 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.

【 授权许可】

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