On norm residue symbols and conductors

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 2001
Externally publishedYes

Fingerprint

Reciprocity Law
Conductor
Norm
Primitive Roots
Roots of Unity
Form

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

On norm residue symbols and conductors. / Sharifi, Romyar T.

In: Journal of Number Theory, Vol. 86, No. 2, 02.2001, p. 196-209.

Research output: Contribution to journalArticle

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