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dc.contributor.author | Ballester Bolinches, Adolfo | es_ES |
dc.contributor.author | Cossey, John | es_ES |
dc.contributor.author | Esteban Romero, Ramón | es_ES |
dc.date.accessioned | 2013-01-24T08:34:07Z | |
dc.date.available | 2013-01-24T08:34:07Z | |
dc.date.issued | 2003-01-01 | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | http://hdl.handle.net/10251/19004 | |
dc.description | This paper has been published in Journal of Algebra, 259(1):226-234 (2003). Copyright 2003 by Elsevier. http://dx.doi.org/10.1016/S0021-8693(02)00535-5 | es_ES |
dc.description.abstract | [EN] Two subgroups A and B of a group G are cosubnormal if A and B are subnormal in their join <A,B> and are strongly cosubnormal if every subgroup of A is cosubnormal with every subgroup of B. We find necessary and sufficient conditions for A and B to be strongly cosubnormal in <A,B> and, if Z is the hypercentre of G=<A,B>, we show that A and B are strongly cosubnormal if and only if G/Z is the direct product of AZ/Z and BZ/Z. We also show that projectors and residuals for certain formations can easily be constructed in such a group. Two subgroups A and B of a group G are N-connected if every cyclic subgroup of A is cosubnormal with every cyclic subgroup of B (N denotes the class of nilpotent groups). Though the concepts of strong cosubnormality and N-connectedness are clearly closely related, we give an example to show that they are not equivalent. We note, however, that if G is the product of the N-connected subgroups A and B, then A and B are strongly cosubnormal. | es_ES |
dc.description.sponsorship | The first and the third authors have been supported by Proyecto BFM2001-1667-C03-03 from Ministerio de Ciencia y Tecnolog´ıa, Spain. The third author has been supported by a grant from the Program of Support of Research (Stays of Researchers in other academic institutions) of the Universitat Polit`ecnica de Val`encia. Part of this research has been carried out during a visit of the third author to the School of Mathematical Sciences of the Australian National University in Canberra (Australia), to whom he wants to express his gratitude for their kindness and financial support. | |
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 | Finite group | es_ES |
dc.subject | Hypercentre | es_ES |
dc.subject | Strongly cosubnormal subgroups | es_ES |
dc.subject | Subnormal subgroup | es_ES |
dc.subject | Nilpotent group | es_ES |
dc.subject | N-connected subgroups | es_ES |
dc.subject | Formation | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | On finite groups generated by strongly cosubnormal subgroups | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/S0021-8693(02)00535-5 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MEC//BFM2001-1667-C03-03/ES/Los grupos a través de sus acciones III/ | 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 | Ballester Bolinches, A.; Cossey, J.; Esteban Romero, R. (2003). On finite groups generated by strongly cosubnormal subgroups. Journal of Algebra. 1(259):226-234. https://doi.org/10.1016/S0021-8693(02)00535-5 | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/S0021-8693(02)00535-5 | es_ES |
dc.description.upvformatpinicio | 226 | |
dc.description.upvformatpfin | 234 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 1 | es_ES |
dc.description.issue | 259 | es_ES |
dc.contributor.funder | Ministerio de Ciencia y Tecnología |