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A characterisation via graphs of the soluble groups in which permutability is transitive

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A characterisation via graphs of the soluble groups in which permutability is transitive

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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 2016-11-09T09:18:56Z
dc.date.available 2016-11-09T09:18:56Z
dc.date.issued 2009
dc.identifier.issn 1726-3255
dc.identifier.uri http://hdl.handle.net/10251/73630
dc.description.abstract [EN] There are different ways to associate to a group a certain graph. In this context, it is interesting to ask for the relations between the structure of the group, given in group-theoretical terms, and the structure of the graphs, given in the language of graph theory. In this paper we recall some properties of the groups in which permutability is a transitive relation and present a new characterisation of the class of soluble groups in which permutability is a transitive relation in graph-theoretical terms. es_ES
dc.description.sponsorship This paper has been suported by the research grants MTM2004-08219-C02-02 and MTM2007-68010-C03-02 from MEC (Spain) and FEDER (European Union), and GV/2007/243 from Generalitat (València).
dc.language Inglés es_ES
dc.publisher Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine es_ES
dc.relation.ispartof Algebra and Discrete Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Finite soluble group es_ES
dc.subject PT-group es_ES
dc.subject Permutable subgroup es_ES
dc.subject Complete graph es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A characterisation via graphs of the soluble groups in which permutability is transitive es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2004-08219-C02-02/ES/ESTRUCTURA NORMAL Y ARITMETICA DE LOS GRUPOS II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-02/ES/GRUPOS: ESTRUCTURA Y APLICACIONES II/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GV%2F2007%2F243/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica es_ES
dc.description.bibliographicCitation Ballester Bolinches, A.; Cossey, J.; Esteban Romero, R. (2009). A characterisation via graphs of the soluble groups in which permutability is transitive. Algebra and Discrete Mathematics. 4:10-17. http://hdl.handle.net/10251/73630 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://adm.luguniv.edu.ua/ es_ES
dc.description.upvformatpinicio 10 es_ES
dc.description.upvformatpfin 17 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4 es_ES
dc.relation.senia 36730 es_ES
dc.contributor.funder Ministerio de Educación y Ciencia
dc.contributor.funder Generalitat Valenciana


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