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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierThéorie des Nombres et Algorithmique Arithmétique [A2X]
dc.contributor.authorCADORET, Anna
dc.date.issued2008
dc.description.abstractEnGiven a field k, a k-curve X and a k-rational divisor t ⊂ X, we analyze the constraints imposed on X and t by the existence of abelian G-covers f : Y → X defined over k and unramified outside t. We show that these constraints produce an obstruction to the weak regular inverse Galois problem for a whole class of profinite groups - we call p-obstructed - when k is a finitely generated field of characteristic ̸= p.
dc.language.isoen
dc.title.enOn the profinite regular inverse Galois Problem
dc.typeArticle de revue
bordeaux.journalResearch Institute for Mathematical Sciences
bordeaux.page1143-1168
bordeaux.volume44
bordeaux.peerReviewedoui
hal.identifierhal-00355710
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00355710v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Research%20Institute%20for%20Mathematical%20Sciences&rft.date=2008&rft.volume=44&rft.spage=1143-1168&rft.epage=1143-1168&rft.au=CADORET,%20Anna&rft.genre=article


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