A generalization to Sylow permutability of pronormal subgroups of finite groups

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dc.contributor.authorEsteban Romero, Ramónes_ES
dc.contributor.authorLongobardi, P.es_ES
dc.contributor.authorMaj, M.es_ES
dc.contributor.funderGeneralitat Valencianaes_ES
dc.contributor.funderEuropean Regional Development Fundes_ES
dc.contributor.funderGruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazionies_ES
dc.contributor.funderMinisterio de Economía y Competitividades_ES
dc.date.accessioned2021-07-21T03:31:16Z
dc.date.available2021-07-21T03:31:16Z
dc.date.issued2020-03es_ES
dc.descriptionElectronic version of an article published as Journal of Algebra and Its Applications, 2020, 19:03 https://doi.org/10.1142/S0219498820500528 © World Scientific Publishing Company.es_ES
dc.description.abstract[EN] In this note, we present a new subgroup embedding property that can be considered as an analogue of pronormality in the scope of permutability and Sylow permutability in finite groups. We prove that finite PST-groups, or groups in which Sylow permutability is a transitive relation, can be characterized in terms of this property, in a similar way as T-groups, or groups in which normality is transitive, can be characterized in terms of pronormality.en_EN
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationEsteban Romero, R.; Longobardi, P.; Maj, M. (2020). A generalization to Sylow permutability of pronormal subgroups of finite groups. Journal of Algebra and Its Applications. 19(3):1-13. https://doi.org/10.1142/S0219498820500528es_ES
dc.description.issue3es_ES
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dc.description.sponsorshipThe research of the first author has been supported by the research grants MTM2014-54707-C3-1-P by the "Ministerio de Economia y Competitividad" (Spain) and FEDER (European Union) and PROMETEO/2017/057 from "Generalitat" (Valencian Community, Spain). Part of the work of this paper has been done during some visits of the first author to the Dipartimento di Matematica of the Universita degli Studi di Salerno supported by the "National Group for Algebraic and Geometric Structures, and their Applications" (GNSAGA - INdAM), Italy.es_ES
dc.description.upvformatpfin13es_ES
dc.description.upvformatpinicio1es_ES
dc.description.volume19es_ES
dc.identifier.doi10.1142/S0219498820500528es_ES
dc.identifier.issn0219-4988es_ES
dc.identifier.urihttps://riunet.upv.es/handle/10251/169641
dc.languageIngléses_ES
dc.publisherWorld Scientifices_ES
dc.relation.ispartofJournal of Algebra and Its Applicationses_ES
dc.relation.pasarelaS\414927es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/es_ES
dc.relation.publisherversionhttps://doi.org/10.1142/S0219498820500528es_ES
dc.relation.references10.1006/jabr.2001.9138es_ES
dc.relation.references10.1017/S1446788700003712es_ES
dc.relation.references10.1023/B:AMHU.0000003903.71033.fces_ES
dc.relation.references10.1515/9783110220612es_ES
dc.relation.references10.1016/j.jalgebra.2011.02.018es_ES
dc.relation.references10.1007/BF01111801es_ES
dc.relation.references10.1515/9783110870138es_ES
dc.relation.references10.1007/978-3-642-64981-3es_ES
dc.relation.references10.1007/s00013-010-0207-0es_ES
dc.relation.references10.1007/BF01195169es_ES
dc.relation.references10.1007/978-3-642-60218-4_24es_ES
dc.relation.references10.1090/S0002-9939-1969-0232850-1es_ES
dc.relation.references10.1112/jlms/s2-3.2.301es_ES
dc.relation.references10.1006/jabr.1998.7429es_ES
dc.relation.references10.1007/BF01580283es_ES
dc.relation.references10.1007/s40840-014-0038-4es_ES
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectFinite groupes_ES
dc.subjectSubgroup embedding propertyes_ES
dc.subjectPermutabilityes_ES
dc.subjectPro-S-permutabilityes_ES
dc.subjectPropermutabilityes_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleA generalization to Sylow permutability of pronormal subgroups of finite groupses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuid3f487d5f-2dfd-42f1-8936-a66d5218388bes_ES

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