On norm residue symbols and conductors

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Using the norm residue symbol and a reciprocity law of Artin and Hasse, we determine the conductors of Kummer extensions of the form K(a, ζn)/K(ζn) for any unramified extension K of Qp, element a∈K*, and primitive pnth root of unity ζn. We are able to do this without more recent and general reciprocity laws, which were needed in earlier proofs of the case K=Qp.

Original languageEnglish (US)
Pages (from-to)196-209
Number of pages14
JournalJournal of Number Theory
Volume86
Issue number2
DOIs
StatePublished - Feb 1 2001

ASJC Scopus subject areas

  • Algebra and Number Theory

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