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A refined Bloch group and the third homology of SL_2 of a field
Author(s)
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
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
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
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Name
blochgroup_dec12_jpaa2523.pdf
Size
327.7 KB
Format
Adobe PDF
Checksum (MD5)
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