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dc.contributor.author | Asaad, Mohamed | es_ES |
dc.contributor.author | Ballester Bolinches, Adolfo | es_ES |
dc.contributor.author | Beidleman, James C. | es_ES |
dc.contributor.author | Esteban Romero, Ramón | es_ES |
dc.date.accessioned | 2013-01-29T07:30:10Z | |
dc.date.available | 2013-01-29T07:30:10Z | |
dc.date.issued | 2008-04-15 | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | http://hdl.handle.net/10251/19092 | |
dc.description | This paper has been published in Journal of Algebra, 319(8):3343-3351 (2008). Copyright 2008 by Elsevier. http://dx.doi.org/10.1016/j.jalgebra.2007.12.001 | es_ES |
dc.description.abstract | [EN] This paper is devoted to the study of mutually permutable products of finite groups. A factorised group G=AB is said to be a mutually permutable product of its factors A and B when each factor permutes with every subgroup of the other factor. We prove that mutually permutable products of Y-groups (groups satisfying a converse of Lagrange's theorem) and SC-groups (groups whose chief factors are simple) are SC-groups, by means of a local version. Next we show that the product of pairwise mutually permutable Y-groups is supersoluble. Finally, we give a local version of the result stating that when a mutually permutable product of two groups is a PST-group (that is, a group in which every subnormal subgroup permutes with all Sylow subgroups), then both factors are PST-groups. | es_ES |
dc.description.sponsorship | The second and the fourth authors have been supported by the Grant MTM2004-08219-C02-02 from MEC (Spain) and FEDER (European Union). | |
dc.format.extent | 3343-3351 | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Algebra | es_ES |
dc.rights | Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) | es_ES |
dc.subject | Mutually permutable product | es_ES |
dc.subject | Permutability | es_ES |
dc.subject | Y-group | es_ES |
dc.subject | Pst-group | es_ES |
dc.subject | Sc-group | es_ES |
dc.subject | Finite group | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Some classes of finite groups and mutually permutable products | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jalgebra.2007.12.001 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MEC//MTM2004-08219-C02-02/ES/ESTRUCTURA NORMAL Y ARITMETICA DE LOS GRUPOS II/ | 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.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada | es_ES |
dc.description.bibliographicCitation | Asaad, M.; Ballester Bolinches, A.; Beidleman, JC.; Esteban Romero, R. (2008). Some classes of finite groups and mutually permutable products. Journal of Algebra. 8(319). https://doi.org/10.1016/j.jalgebra.2007.12.001 | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jalgebra.2007.12.001 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 8 | es_ES |
dc.description.issue | 319 | es_ES |
dc.contributor.funder | Ministerio de Educación y Ciencia |