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Artículo

dc.creatorArias de Reyna Domínguez, Saraes
dc.creatorDieulefait, Luis Víctores
dc.creatorWiese, Gabores
dc.date.accessioned2016-10-13T06:35:22Z
dc.date.available2016-10-13T06:35:22Z
dc.date.issued2016-03
dc.identifier.citationArias de Reyna Domínguez, S., Dieulefait, L.V. y Wiese, G. (2016). Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image. Pacific Journal of Mathematics, 281 (1), 1-16.
dc.identifier.issn0030-8730es
dc.identifier.urihttp://hdl.handle.net/11441/47399
dc.description.abstractThis article is the second part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. This part is concerned with symplectic Galois representations having a huge residual image, by which we mean that a symplectic group of full dimension over the prime field is contained up to conjugation. A key ingredient is a classification of symplectic representations whose image contains a nontrivial transvection: these fall into three very simply describable classes, the reducible ones, the induced ones and those with huge image. Using the idea of an (n,p)-group of Khare, Larsen and Savin, we give simple conditions under which a symplectic Galois representation with coefficients in a finite field has a huge image. Finally, we combine this classification result with the main result of the first part to obtain a strengthened application to the inverse Galois problem.es
dc.description.sponsorshipMinisterio de Economía y Competitividades
dc.description.sponsorshipICREA Academia Research Prizees
dc.description.sponsorshipDeutsche Forschungsgemeinschaftes
dc.description.sponsorshipFonds National de la Recherche Luxembourges
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherMathematical Sciences Publisherses
dc.relation.ispartofPacific Journal of Mathematics, 281 (1), 1-16.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectCompatible systems of symplectic Galois representationses
dc.subjectInverse Galois problemes
dc.titleCompatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge imagees
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de álgebraes
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/MTM2012-33830es
dc.relation.projectID1489es
dc.relation.projectIDINTER/DFG/12/10/COMFGREPes
dc.relation.publisherversionhttp://msp.org/pjm/2016/281-1/pjm-v281-n1-p01-s.pdfes
dc.identifier.doi10.2140/pjm.2016.281.1es
dc.contributor.groupUniversidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidadeses
idus.format.extent16 p.es
dc.journaltitlePacific Journal of Mathematicses
dc.publication.volumen281es
dc.publication.issue1es
dc.publication.initialPage1es
dc.publication.endPage16es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47399

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