Norm groups and class fields of formally real quasilocal fields

Abstract

This paper establishes a relationship between finite extensions and norm groups of formally real quasilocal fields, which yields a generally nonabelian local class field theory, including analogues to the fundamental correspondence, the local reciprocity law and the norm limitation theorem.

10 pages. A number of minor corrections and improvements

References in corpus (3)

• On the residue fields of Henselian valued stable fields
• Primarily quasilocal fields and 1-dimensional abstract local class field theory
• Class field theory for strictly quasilocal fields with Henselian discrete valuations

Cited by in corpus (1)

• On the Brauer groups of quasilocal fields and the norm groups of their finite Galois extensions