A characterization of ramification groups of local fields with imperfect residue field
Number Theory
2024-10-08 v2
Abstract
We give a characterization of ramification groups of local fields with imperfect residue fields, using those for local fields with perfect residue fields. As an application, we reprove an equality of ramification groups for abelian extensions defined in different ways.
Keywords
Cite
@article{arxiv.2004.03770,
title = {A characterization of ramification groups of local fields with imperfect residue field},
author = {Takeshi Saito},
journal= {arXiv preprint arXiv:2004.03770},
year = {2024}
}
Comments
10 pages