A Bloch-Wigner sequence for SL2

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Title: A Bloch-Wigner sequence for SL2
Authors: Hutchinson, Kevin
Permanent link: http://hdl.handle.net/10197/6580
Date: Aug-2013
Online since: 2015-05-20T12:21:48Z
Abstract: We introduce a refinement of the Bloch-Wigner complex of a field F. This refinement is complex of modules over the multiplicative group of the field. Instead of computing K 2 (F) and K ind 3 (F) - as the classical Bloch-Wigner complex does - it calculates the second and third integral homology of SL2 (F). On passing to F × -coinvariants we recover the classical Bloch-Wigner complex. We include the case of finite fields throughout the article
Type of material: Journal Article
Publisher: Cambridge University Press
Journal: Journal of K-Theory
Volume: 12
Issue: 1
Start page: 15
End page: 68
Copyright (published version): 2013 Cambridge University Press
Keywords: Homology of groupsK-theoryGroup Homology
DOI: 10.1017/is013003031jkt13222
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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