English

Norm groups and class fields of formally real quasilocal fields

Rings and Algebras 2024-02-22 v2 Number Theory

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.

Keywords

Cite

@article{arxiv.math/0508019,
  title  = {Norm groups and class fields of formally real quasilocal fields},
  author = {I. D. Chipchakov},
  journal= {arXiv preprint arXiv:math/0508019},
  year   = {2024}
}

Comments

10 pages. A number of minor corrections and improvements

R2 v1 2026-07-22T17:22:41.954Z