A refined Bloch group and the third homology of SL_2 of a field
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|Title:||A refined Bloch group and the third homology of SL_2 of a field||Authors:||Hutchinson, Kevin||Permanent link:||http://hdl.handle.net/10197/6579||Date:||Nov-2013||Abstract:||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||Type of material:||Journal Article||Publisher:||Elsevier||Copyright (published version):||2013 Elsevier||Keywords:||Homology;K-theory;Group homology||DOI:||10.1016/j.jpaa.2013.01.001||Language:||en||Status of Item:||Peer reviewed|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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