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) |
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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