On the p-length of some finite p-soluble groups

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dc.contributor.authorBallester-Bolinches, Adolfoes_ES
dc.contributor.authorEsteban Romero, Ramónes_ES
dc.contributor.authorEzquerro, Luis M.es_ES
dc.contributor.funderMinisterio de Ciencia e Innovaciónes_ES
dc.contributor.funderNational Natural Science Foundation of Chinaes_ES
dc.date.accessioned2015-05-21T12:17:29Z
dc.date.available2015-05-21T12:17:29Z
dc.date.issued2014-10
dc.descriptionThe final publication is available at Springer via http://dx.doi.org/10.1007/s11856-014-1095-yes_ES
dc.description.abstractThe main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose $p$-length is greater than $1$, $p$ a prime number. Alternative proofs and improvements of recent results about the influence of minimal $p$-subgroups on the $p$-nilpotence and $p$-length of a finite group arise as consequences of our studyes_ES
dc.description.accrualMethodSes_ES
dc.description.bibliographicCitationBallester-Bolinches, A.; Esteban Romero, R.; Ezquerro, LM. (2014). On the p-length of some finite p-soluble groups. Israel Journal of Mathematics. 204(1):359-371. https://doi.org/10.1007/s11856-014-1095-yes_ES
dc.description.issue1es_ES
dc.description.referencesA. Ballester-Bolinches, R. Esteban-Romero and M. Asaad, Products of Finite Groups, de Gruyter Expositions in Mathematics, Vol. 53, Walter de Gruyter, Berlin, 2010.es_ES
dc.description.referencesA. Ballester-Bolinches, R. Esteban-Romero and L. M. Ezquerro, On a p-Schur-Frattini extension of a finite group, preprint.es_ES
dc.description.referencesA. Ballester-Bolinches, L. M. Ezquerro and A. N. Skiba, On subgroups of hypercentral type of finite groups, Israel Journal of Mathematics 199 (2014), 259–265.es_ES
dc.description.referencesA. Ballester-Bolinches and X. Guo, Some results on p-nilpotence and solubility of finite groups, Journal of Algebra 228 (2000), 491–496.es_ES
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dc.description.sponsorshipThe research of the authors is supported by Proyecto MTM2010-19938-C03-01/03 of the Ministerio de Ciencia e Innovacion de Espana. The first author is also supported by Project of NSFC (11271085).en_EN
dc.description.upvformatpfin371es_ES
dc.description.upvformatpinicio359es_ES
dc.description.volume204es_ES
dc.identifier.doi10.1007/s11856-014-1095-y
dc.identifier.issn0021-2172
dc.identifier.urihttps://riunet.upv.es/handle/10251/50636
dc.languageIngléses_ES
dc.publisherSpringer Verlag (Germany)es_ES
dc.relation.ispartofIsrael Journal of Mathematicses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-03/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES II/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-01/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I/es_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/NSFC//11271085/es_ES
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s11856-014-1095-yes_ES
dc.relation.references10.1515/9783110220612es_ES
dc.relation.references10.1007/s11856-013-0030-yes_ES
dc.relation.references10.1006/jabr.1999.8274es_ES
dc.relation.references10.1515/9783110870138es_ES
dc.relation.references10.1007/s11856-011-0006-8es_ES
dc.relation.references10.1007/978-3-642-64981-3es_ES
dc.relation.references10.14492/hokmj/1330351337es_ES
dc.relation.senia246554
dc.rightsReserva de todos los derechoses_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectApplications of Mathematicses_ES
dc.subjectTheoretical, Mathematical and Computational Physicses_ES
dc.subject.classificationMATEMATICA APLICADAes_ES
dc.titleOn the p-length of some finite p-soluble groupses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuided171cea-2879-423a-a489-9b8bb0454417es_ES

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