A refined Bloch group and the third homology of SL2 of a field

• Autores: Kevin Hutchinson
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 11, 2013, págs. 2003-2035
• Idioma: inglés
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• Resumen

  • We use the properties of the refined Bloch group to study the structure of H3(SL2(F ), Z) for a field F . We compute this group up to 2-torsion when F is a local field with finite residue field of odd order, and we show that for any global field F it is not finitely-generated.