Determination of Conductors from Galois Module Structure

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dc.creatorSharifi, Romyar T.
dc.date2001-10-03
dc.date.accessioned2026-07-07T07:52:12Z
dc.date.available2026-07-07T07:52:12Z
dc.descriptionLet F denote an unramified extension of the cyclotomic extension of Q_p by (p^n)th roots of unity, for an odd prime p. We determine the conductors of those Kummer extensions of F of degree dividing p^n which are Galois over the maximal unramified subfield of F. This follows from a comparison of the Galois module structure of the multiplicative group of F with the unit filtration of F.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0110048
dc.identifierhttp://arxiv.org/abs/math/0110048
dc.identifierMath. Z. 241 (2002) 227-245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125793
dc.subjectNumber Theory
dc.subject11S15
dc.titleDetermination of Conductors from Galois Module Structure
dc.typetext

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