Abstract
We prove that if F is the quotient field of an integral Tate algebra over a complete nonarchimedean absolute valued field K, then Gal (F) is semi-free.
| Original language | English |
|---|---|
| Pages (from-to) | 373-387 |
| Number of pages | 15 |
| Journal | New York Journal of Mathematics |
| Volume | 18 |
| State | Published - 3 Jun 2012 |
Keywords
- Ample fields
- Galois theory
- Hilbertian fields
- Krull fields
- Semi-free profinite groups
- Tate algebras