A Bloch-Wigner sequence for SL2

Files in This Item:
File Description SizeFormat 
BWSL2_JKTH.pdf308.98 kBAdobe PDFDownload
Title: A Bloch-Wigner sequence for SL2
Authors: Hutchinson, Kevin
Permanent link: http://hdl.handle.net/10197/6580
Date: Aug-2013
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
Copyright (published version): 2013 Cambridge University Press
Keywords: Homology of groups;K-theory;Group Homology
DOI: 10.1017/is013003031jkt13222
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

Show full item record

SCOPUSTM   
Citations 50

7
Last Week
0
Last month
checked on Jun 22, 2018

Page view(s) 50

44
checked on May 25, 2018

Download(s) 50

38
checked on May 25, 2018

Google ScholarTM

Check

Altmetric


This item is available under the Attribution-NonCommercial-NoDerivs 3.0 Ireland. No item may be reproduced for commercial purposes. For other possible restrictions on use please refer to the publisher's URL where this is made available, or to notes contained in the item itself. Other terms may apply.