English

Class field theory for strictly quasilocal fields with Henselian discrete valuations

Rings and Algebras 2007-05-23 v2 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0506069,
  title  = {Class field theory for strictly quasilocal fields with Henselian discrete valuations},
  author = {I. D. Chipchakov},
  journal= {arXiv preprint arXiv:math/0506069},
  year   = {2007}
}

Comments

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, 149-167