A Bloch-Wigner sequence for SL2
|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|
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