Abstract
We study the groups Ui in the unit filtration of a finite abelian extension K of ℚp for an odd prime p. We determine explicit generators of the Ui as modules over the ℤp-group ring of Gal(K/ℚp). We work in eigenspaces for powers of the Teichmüller character, first at the level of the field of norms for the extension of K by p-power roots of unity and then at the level of K.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 157-191 |
| Number of pages | 35 |
| Journal | Algebra and Number Theory |
| Volume | 7 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Galois module structure
- Local field
- Unit filtration
ASJC Scopus subject areas
- Algebra and Number Theory