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

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

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dc.contributor.author Ballester-Bolinches, Adolfo es_ES
dc.contributor.author Esteban Romero, Ramón es_ES
dc.contributor.author Ezquerro, Luis M. es_ES
dc.date.accessioned 2015-05-21T12:17:29Z
dc.date.available 2015-05-21T12:17:29Z
dc.date.issued 2014-10
dc.identifier.issn 0021-2172
dc.identifier.uri http://hdl.handle.net/10251/50636
dc.description The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-014-1095-y es_ES
dc.description.abstract The 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 study es_ES
dc.description.sponsorship The 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.language Inglés es_ES
dc.publisher Springer Verlag (Germany) es_ES
dc.relation.ispartof Israel Journal of Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Applications of Mathematics es_ES
dc.subject Theoretical, Mathematical and Computational Physics es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the p-length of some finite p-soluble groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s11856-014-1095-y
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-03/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-19938-C03-01/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11271085/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Ballester-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-y es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://link.springer.com/article/10.1007/s11856-014-1095-y es_ES
dc.description.upvformatpinicio 359 es_ES
dc.description.upvformatpfin 371 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 204 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 246554
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.description.references A. 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.references A. Ballester-Bolinches, R. Esteban-Romero and L. M. Ezquerro, On a p-Schur-Frattini extension of a finite group, preprint. es_ES
dc.description.references A. 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.references A. Ballester-Bolinches and X. Guo, Some results on p-nilpotence and solubility of finite groups, Journal of Algebra 228 (2000), 491–496. es_ES
dc.description.references K. Doerk and T. Hawkes, Finite Soluble Groups, de Gruyter Expositions in Mathematics, Vol. 4, Walter de Gruyter, Berlin, 1992. es_ES
dc.description.references The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.5.7, 2012. es_ES
dc.description.references J. González-Sánchez and T. S. Weigel, Finite p-central groups of height k, Israel Journal of Mathematics 181 (2011), 125–143. es_ES
dc.description.references D. Gorenstein, Finite Groups, Harper & Row, New York, 1968. es_ES
dc.description.references B. Huppert, Endliche Gruppen I, Grundlehren der Mathematischen Wissenschaften, Vol. 134, Springer-Verlag, Berlin-Heidelberg-New York, 1967. es_ES
dc.description.references B. Huppert and N. Blackburn, Finite Groups II, Grundlehren der Mathematischen Wissenschaften, Vol. 242, Springer-Verlag, Berlin-Heidelberg-New York, 1982. es_ES
dc.description.references B. Huppert and N. Blackburn, Finite Groups III, Grundlehren der Mathematischen Wissenschaften, Vol. 243, Springer-Verlag, Berlin-Heidelberg-New York, 1982. es_ES
dc.description.references T. S. Weigel, Finite p-groups which determine p-nilpotency locally, Hokkaido Mathematical Journal 411 (2012), 11–29. es_ES


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