The third homology of the special linear group of a field |
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Authors: | Kevin Hutchinson Liqun Tao |
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Institution: | School of Mathematical Sciences, University College Dublin, Ireland |
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Abstract: | We prove that for any infinite field F, the map is an isomorphism for all n≥3. When n=2 the cokernel of this map is naturally isomorphic to , where is the nth Milnor K-group of F. We deduce that the natural homomorphism from to the indecomposable K3 of F, , is surjective for any infinite field F. |
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Keywords: | 19G99 20G10 |
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