On finite involutive Yang-Baxter groups

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dc.contributor.authorMeng, H.es_ES
dc.contributor.authorBallester-Bolinches, A.es_ES
dc.contributor.authorEsteban Romero, Ramónes_ES
dc.contributor.authorFuster-Corral, N.es_ES
dc.contributor.funderGeneralitat Valencianaes_ES
dc.contributor.funderChina Scholarship Counciles_ES
dc.contributor.funderAgencia Estatal de Investigaciónes_ES
dc.contributor.funderEuropean Regional Development Fundes_ES
dc.date.accessioned2022-07-14T18:04:14Z
dc.date.available2022-07-14T18:04:14Z
dc.date.issued2021-02es_ES
dc.description.abstract[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of the Yang-Baxter equation. We give new sufficient conditions for a group that can be factorised as a product of two IYB-groups to be an IYB-group. Some earlier results are direct consequences of our main theorem.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationMeng, H.; Ballester-Bolinches, A.; Esteban Romero, R.; Fuster-Corral, N. (2021). On finite involutive Yang-Baxter groups. Proceedings of the American Mathematical Society. 149(2):793-804. https://doi.org/10.1090/proc/15283es_ES
dc.description.issue2es_ES
dc.description.sponsorshipThe research of this paper was supported by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades and the Agencia Estatal de Investigacion, Spain, and FEDER, European Union, and by the grant PROMETEO/2017/057 from the Generalitat, Valencian Community, Spain. The first author was supported by the predoctoral grant 201606890006 from the China Scholarship Council. The fourth author was supported by a predoctoral grant from the "Atraccio del talent" Programme from the Universitat de Valencia.es_ES
dc.description.upvformatpfin804es_ES
dc.description.upvformatpinicio793es_ES
dc.description.volume149es_ES
dc.identifier.doi10.1090/proc/15283es_ES
dc.identifier.issn0002-9939es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/184212
dc.languageIngléses_ES
dc.publisherAmerican Mathematical Societyes_ES
dc.relation.ispartofProceedings of the American Mathematical Societyes_ES
dc.relation.pasarelaS\429000es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095140-B-I00/ES/GRUPOS: ESTRUCTURA Y APLICACIONES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI//PGC2018-095140-B-I00//GRUPOS: ESTRUCTURA Y APLICACIONES/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/CSC//201606890006/es_ES
dc.relation.publisherversionhttps://doi.org/10.1090/proc/15283es_ES
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFinite left bracees_ES
dc.subjectYang-Baxter equationes_ES
dc.subjectInvolutive nondegenerate solutionses_ES
dc.subjectInvolutive Yang-Baxter groupes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleOn finite involutive Yang-Baxter groupses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid8f918a17-9f7e-4c3d-862e-222cd3ca50aees_ES

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