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dc.contributor.author | Ballester-Bolinches, A. | es_ES |
dc.contributor.author | Beidleman, J.C. | es_ES |
dc.contributor.author | Esteban Romero, Ramón | es_ES |
dc.contributor.author | Pérez-Calabuig, V. | es_ES |
dc.date.accessioned | 2014-10-22T07:48:30Z | |
dc.date.available | 2014-10-22T07:48:30Z | |
dc.date.issued | 2013-06 | |
dc.identifier.issn | 1895-1074 | |
dc.identifier.uri | http://hdl.handle.net/10251/43470 | |
dc.description | The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-013-0222-z | es_ES |
dc.description.abstract | A subgroup H of a group G is said r to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable groups, and maxmial subgroups, Arch. Math. (Basel), 2011, 96(1), 19-25)] presented some new characterisations of soluble T-groups. The main goal of this paper is to establish PT- and PST-versions of Kaplan's results, which enables a better understanding of the relationships between these classes. | es_ES |
dc.description.sponsorship | The first and third author have been supported by the research grant MTM2010-19938-C03-01 from MICINN (Spain). | en_EN |
dc.language | Inglés | es_ES |
dc.publisher | Springer Verlag (Germany) | es_ES |
dc.relation.ispartof | Central European Journal of Mathematics | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Finite groups | es_ES |
dc.subject | Permutability | es_ES |
dc.subject | Sylow-permutability | es_ES |
dc.subject | Maximal subgroups | es_ES |
dc.subject | Supersolubility | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Maximal subgroups and PST-groups | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.2478/s11533-013-0222-z | |
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.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.; Beidleman, J.; Esteban Romero, R.; Pérez-Calabuig, V. (2013). Maximal subgroups and PST-groups. Central European Journal of Mathematics. 11(6):1078-1082. https://doi.org/10.2478/s11533-013-0222-z | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://link.springer.com/article/10.2478%2Fs11533-013-0222-z | es_ES |
dc.description.upvformatpinicio | 1078 | es_ES |
dc.description.upvformatpfin | 1082 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 11 | es_ES |
dc.description.issue | 6 | es_ES |
dc.relation.senia | 223670 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.description.references | Huppert, B. (1967). Endliche Gruppen I. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-642-64981-3 | es_ES |
dc.description.references | Doerk, K., & Hawkes, T. O. (1992). Finite Soluble Groups. doi:10.1515/9783110870138 | es_ES |
dc.description.references | Ballester-Bolinches, A., Esteban-Romero, R., & Asaad, M. (2010). Products of Finite Groups. de Gruyter Expositions in Mathematics. doi:10.1515/9783110220612 | es_ES |
dc.description.references | Gasch�tz, W. (1953). �ber die ?-Untergruppe endlicher Gruppen. Mathematische Zeitschrift, 58(1), 160-170. doi:10.1007/bf01174137 | es_ES |
dc.description.references | Kaplan, G. (2010). On T-groups, supersolvable groups, and maximal subgroups. Archiv der Mathematik, 96(1), 19-25. doi:10.1007/s00013-010-0207-0 | es_ES |