Kevin.Hutchinson@ucd.ie

Submission: 2008, Aug 7

We prove that for any infinite field stability for the third homology of the special linear group begins at n=3, and that the cokernel at the previous step is the square of Milnor K-theory. We discuss applications to indecomposable K_3 and to Milnor-Witt K-theory.

2000 Mathematics Subject Classification: 20G10

Keywords and Phrases: K-theory, Special Linear Group, Group Homology

Full text: dvi.gz 42 k, dvi 110 k, ps.gz 926 k, pdf.gz 211 k, pdf 240 k.

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