Determination of conductors from Galois module structure

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Abstract

Let E denote an unramified extension of Qp, and set F = E (ζpn) for an odd prime p and n ≥ 1. We determine the conductors of the Kummer extensions F(pn√a) of F by those elements a ∈ Fx such that F(pn√a)/E is Galois. This follows from a comparison of the Galois module structure of Fx with the unit filtration of F.

Original languageEnglish (US)
Pages (from-to)227-245
Number of pages19
JournalMathematische Zeitschrift
Volume241
Issue number2
DOIs
StatePublished - Oct 1 2002

ASJC Scopus subject areas

  • Mathematics(all)

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