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arXiv · 1108.5454

Third homology of general linear groups over rings with many units

Behrooz Mirzaii
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Abstract

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).

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Behrooz Mirzaii. 2011-08-27. Third homology of general linear groups over rings with many units. https://arxiv.org/abs/1108.5454

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