|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The local dimension of a finite group over a number field | | Joachim König
; Danny Neftin
; | | Date: |
10 Jul 2020 | | Abstract: | Let $G$ be a finite group and $K$ a number field. We construct a
$G$-extension $E/F$, with $F$ of transcendence degree $2$ over $K$, that
specializes to all $G$-extensions of $K_mathfrak{p}$, where $mathfrak{p}$
runs over all but finitely many primes of $K$. If furthermore $G$ has a generic
extension over $K$, we show that the extension $E/F$ has the Hilbert--Grunwald
property. The transcendence degree of the extension is compared to the
essential dimension of $G$ over $K$, and its arithmetic analogue. | | Source: | arXiv, 2007.5383 | | 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.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER