| | |
| | |
Stat |
Members: 3667 Articles: 2'599'751 Articles rated: 2609
13 February 2025 |
|
| | | |
|
Article overview
| |
|
A converse to the Hasse-Arf theorem | G. Griffith Elder
; Kevin Keating
; | Date: |
1 Feb 2023 | Abstract: | Let $L/K$ be a finite Galois extension of local fields. The Hasse-Arf theorem
says that if Gal$(L/K)$ is abelian then the upper ramification breaks of $L/K$
must be integers. We prove the following converse to the Hasse-Arf theorem: Let
$G$ be a nonabelian group which is isomorphic to the Galois group of some
totally ramified extension $E/F$ of local fields with residue characteristic
$p>2$. Then there is a totally ramified extension of local fields $L/K$ with
residue characteristic $p$ such that Gal$(L/K)cong G$ and $L/K$ has at least
one nonintegral upper ramification break. | Source: | arXiv, 2302.00222 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|