Third homology of general linear groups over rings with many units
K-Theory and Homology
2011-08-30 v1
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).
Keywords
Cite
@article{arxiv.1108.5454,
title = {Third homology of general linear groups over rings with many units},
author = {Behrooz Mirzaii},
journal= {arXiv preprint arXiv:1108.5454},
year = {2011}
}
Comments
12 pages, Latex