dc.creator | Arias de Reyna Domínguez, Sara | es |
dc.creator | Dieulefait, Luis Víctor | es |
dc.creator | Wiese, Gabor | es |
dc.date.accessioned | 2016-10-13T06:35:22Z | |
dc.date.available | 2016-10-13T06:35:22Z | |
dc.date.issued | 2016-03 | |
dc.identifier.citation | Arias 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.issn | 0030-8730 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47399 | |
dc.description.abstract | This 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.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | ICREA Academia Research Prize | es |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | es |
dc.description.sponsorship | Fonds National de la Recherche Luxembourg | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Mathematical Sciences Publishers | es |
dc.relation.ispartof | Pacific Journal of Mathematics, 281 (1), 1-16. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Compatible systems of symplectic Galois representations | es |
dc.subject | Inverse Galois problem | es |
dc.title | Compatible systems of symplectic Galois representations and the inverse Galois problem II. Transvections and huge image | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de álgebra | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-33830 | es |
dc.relation.projectID | 1489 | es |
dc.relation.projectID | INTER/DFG/12/10/COMFGREP | es |
dc.relation.publisherversion | http://msp.org/pjm/2016/281-1/pjm-v281-n1-p01-s.pdf | es |
dc.identifier.doi | 10.2140/pjm.2016.281.1 | es |
dc.contributor.group | Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Pacific Journal of Mathematics | es |
dc.publication.volumen | 281 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 16 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47399 | |