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  5. A refined Bloch group and the third homology of SL_2 of a field
 
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A refined Bloch group and the third homology of SL_2 of a field

Author(s)
Hutchinson, Kevin  
Uri
http://hdl.handle.net/10197/6579
Date Issued
2013-11
Date Available
2015-05-20T12:15:21Z
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
Journal
Journal of Pure and Applied Algebra
Volume
217
Issue
11
Start Page
2003
End Page
2035
Copyright (Published Version)
2013 Elsevier
Subjects

Homology

K-theory

Group homology

DOI
10.1016/j.jpaa.2013.01.001
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
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blochgroup_dec12_jpaa2523.pdf

Size

327.7 KB

Format

Adobe PDF

Checksum (MD5)

87ffcb6852bdfb76b3f8fcabd3ec1730

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
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