Third homology of general linear groups over rings with many units

Details Third homology of general linear groups over rings with many units Third homology of general linear groups over rings with many units

2011-08-27

arxiv.org/abs/1108.5454v1

Mathematics

K-Theory and Homology

12 pages, Latex

Scientific paper

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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