Genus fields of global fields
Number Theory
2019-01-23 v1
Abstract
In this paper we obtain the extended genus field of a global field. First we define the extended genus field of a global function field and we obtain, via class field theory, the description of the extended genus field of an arbitrary global function field. In the last part of the paper we use the techniques for function fields to describe the extended genus field of an arbitrary number field.
Keywords
Cite
@article{arxiv.1901.07156,
title = {Genus fields of global fields},
author = {Elizabeth Ramírez-Ramírez and Martha Rzedowski-Calderón and Gabriel Villa-Salvador},
journal= {arXiv preprint arXiv:1901.07156},
year = {2019}
}
Comments
24 pages