Norm groups and class fields of formally real quasilocal fields

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.Comment: 10 pages. A number of minor corrections and improvement

Class field theory for strictly quasilocal fields with Henselian discrete valuations

The paper establishes a relationship between finite separable extensions and norm groups of strictly quasilocal fields with Henselian discrete valuations, which yields a generally nonabelian one-dimensional local class field theory.Comment: 14 pages; revised form, to appear in manuscripta mathematica, paper [6] from the list of references has been published in the Proceedings of ICTAMI 05, Alba Iulia, Romania, 15.9-18.9. 2005; Acta Universitatis Apulensis 10/2005, 149-16