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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