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Principalization of ideals in abelian extensions of number fields

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBOSCA, Sebastien
hal.structure.identifierChercheur indépendant
dc.contributor.authorGRAS, Georges
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJAULENT, Jean-François
dc.date.accessioned2024-04-04T02:41:38Z
dc.date.available2024-04-04T02:41:38Z
dc.date.issued2009
dc.identifier.issn1793-0421
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191167
dc.description.abstractEnWe give the complete proof of a conjecture of Georges Gras which claims that, for any extension $K/k$ of number fields in which at least one infinite place is totally split, every ideal $I$ of $K$ principalizes in the compositum $Kk^{ab}$ of $K$ with the maximal abelian extension $k^{ab}$ of $k$
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.title.enPrincipalization of ideals in abelian extensions of number fields
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0803.4147
bordeaux.journalInternational Journal of Number Theory
bordeaux.page1--13
bordeaux.volume5
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00267830
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00267830v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Number%20Theory&rft.date=2009&rft.volume=5&rft.spage=1--13&rft.epage=1--13&rft.eissn=1793-0421&rft.issn=1793-0421&rft.au=BOSCA,%20Sebastien&GRAS,%20Georges&JAULENT,%20Jean-Fran%C3%A7ois&rft.genre=article


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