On the presentation of the Grothendieck-Witt group of symmetric bilinear forms over local rings
- Resource Type
- Working Paper
- Authors
- Rogers, Robert; Schlichting, Marco
- Source
- Subject
- Mathematics - K-Theory and Homology
Mathematics - Rings and Algebras
- Language
We prove a Chain Lemma for inner product spaces over commutative local rings R with residue field other than F2 and use this to show that the usual presentation of the Grothendieck-Witt group of symmetric bilinear forms over R as the zero-th Milnor-Witt K-group holds provided the residue field of R is not F2.
Comment: Final version to appear in Math. Z