摘要
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-3(ind)(F) - as the classical Bloch-Wigner complex does - it calculates the second and third integral homology of SL2(F). On passing to F-x-coinvariants we recover the classical Bloch-Wigner complex. We include the case of finite fields throughout the article.
- 出版日期2013-8