Hopf-Galois module structure of degree p extensions of p-adic fields
Abstract
Abstract Let p be an odd prime number. For a degree p extension of p -adic fields L / K , we give a complete characterization of the condition for the ring of integers $$\mathcal {O}_L$$ O L to be free as a module over its associated order in the unique Hopf-Galois structure on L / K .
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Annales mathématiques du Québec
- Publisher
- Springer Science and Business Media LLC
- Volume
- 50
- Issue
- 2
- Pages
- 527-567
- Publication date
- 9 July 2026
- Language
- EN