Classification of subgroups of symplectic groups over finite fields containing a transvection

Arias de Reyna Domínguez, Sara; Dieulefait, Luis Víctor; Wiese, Gabor

doi:10.1515/dema-2016-0012

Artículo

dc.creator	Arias de Reyna Domínguez, Sara	es
dc.creator	Dieulefait, Luis Víctor	es
dc.creator	Wiese, Gabor	es
dc.date.accessioned	2016-10-13T06:22:41Z
dc.date.available	2016-10-13T06:22:41Z
dc.date.issued	2016-06
dc.identifier.citation	Arias de Reyna Domínguez, S., Dieulefait, L.V. y Wiese, G. (2016). Classification of subgroups of symplectic groups over finite fields containing a transvection. Demonstratio Mathematica, 49 (2), 129-148.
dc.identifier.issn	0420-1213	es
dc.identifier.uri	http://hdl.handle.net/11441/47398
dc.description.abstract	In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G is either reducible, symplectically imprimitive or it contains SpnpF`q. This result is for instance useful for proving ‘big image’ results for symplectic Galois representations.	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	De Gruyter Open	es
dc.relation.ispartof	Demonstratio Mathematica, 49 (2), 129-148.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Sympletic group over a finite field	es
dc.subject	Transvection	es
dc.subject	Classification of subgroups of linear groups	es
dc.title	Classification of subgroups of symplectic groups over finite fields containing a transvection	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/12/10COMFGREP	es
dc.relation.publisherversion	https://www.degruyter.com/downloadpdf/j/dema.2016.49.issue-2/dema-2016-0012/dema-2016-0012.xml	es
dc.identifier.doi	10.1515/dema-2016-0012	es
dc.contributor.group	Universidad de Sevilla. FQM218: Geometria Algebraica, Sistemas Diferenciales y Singularidades	es
idus.format.extent	20 p.	es
dc.journaltitle	Demonstratio Mathematica	es
dc.publication.volumen	49	es
dc.publication.issue	2	es
dc.publication.initialPage	129	es
dc.publication.endPage	148	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/47398

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