A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Brauer group analogues of results relating the Witt ring to valuations and Galois theory
1995
Canadian Journal of Mathematics - Journal Canadien de Mathematiques
Preserved Fulltext
and its relationship to valuation theory and Galois theory. Sufficient conditions on the pairing which guarantee the existence of a valuation on the field are described. In the non/7-adic case these results provide a converse to the well-known structure theory in this situation. In the/?-adic case, the pairing is described using the notion of "relative rigidity". These results are analogues of results in quadratic form theory developed in the past decade, which cover the special case/? = 2.
doi:10.4153/cjm-1995-029-4
fatcat:skk2jx4wf5bvtfyo2jj2wpk27i