Galois module structure of local unit groups

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)157-191
Number of pages35
JournalAlgebra and Number Theory
Volume7
Issue number1
DOIs
StatePublished - Apr 25 2013

Keywords

  • Galois module structure
  • Local field
  • Unit filtration

ASJC Scopus subject areas

  • Algebra and Number Theory

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