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An explicit integral polynomial whose splitting field has Galois group W(E_8)

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorJOUVE, Florent
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierLaboratoire de mathématiques
dc.contributor.authorKOWALSKI, E.
dc.contributor.authorZYWINA, D.
dc.date.accessioned2024-04-04T02:37:49Z
dc.date.available2024-04-04T02:37:49Z
dc.date.created2008-01-11
dc.date.issued2009
dc.identifier.issn2118-8572
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190833
dc.description.abstractEnUsing the principle that characteristic polynomials of matrices obtained from elements of a reductive group over a number field typically have splitting field with Galois group isomorphic to its Weyl group, we construct an explicit monic integral polynomial of degree 240 whose splitting field has Galois group the Weyl group of the exceptional group of type E_8.
dc.language.isoen
dc.publisherSociété Arithmétique de Bordeaux
dc.title.enAn explicit integral polynomial whose splitting field has Galois group W(E_8)
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.subject.halMathématiques [math]/Théorie des groupes [math.GR]
dc.identifier.arxiv0801.1733
bordeaux.journalJournal de Théorie des Nombres de Bordeaux
bordeaux.page?
bordeaux.volumeVolume en l'honneur de Henri Cohen
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00387294
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00387294v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20de%20Th%C3%A9orie%20des%20Nombres%20de%20Bordeaux&rft.date=2009&rft.volume=Volume%20en%20l'honneur%20de%20Henri%20Cohen&rft.spage=?&rft.epage=?&rft.eissn=2118-8572&rft.issn=2118-8572&rft.au=JOUVE,%20Florent&KOWALSKI,%20E.&ZYWINA,%20D.&rft.genre=article


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