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On the Prufer rank of mutually permutable products of abelian groups

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On the Prufer rank of mutually permutable products of abelian groups

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dc.contributor.author Ballester-Bolinches, A. es_ES
dc.contributor.author Cossey, John es_ES
dc.contributor.author Meng, Hangyang es_ES
dc.contributor.author Pedraza Aguilera, María Carmen es_ES
dc.date.accessioned 2020-10-30T04:32:00Z
dc.date.available 2020-10-30T04:32:00Z
dc.date.issued 2019-06 es_ES
dc.identifier.issn 0373-3114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/153678
dc.description.abstract [EN] A group G has finite (or Prufer or special) rank if every finitely generated subgroup of G can be generated by r elements and r is the least integer with this property. The aim of this paper is to prove the following result: assume that G=AB is a group which is the mutually permutable product of the abelian subgroups A and B of Prufer ranks r and s, respectively. If G is locally finite, then the Prufer rank of G is at most r+s+3. If G is an arbitrary group, then the Prufer rank of G is at most r+s+4. es_ES
dc.description.sponsorship The first and third authors are supported by the Grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union. The first and fourth authors are supported by Prometeo/2017/057 of Generalitat, Valencian Community, Spain. The third author is also supported by the predoctoral Grant 201606890006 from the China Scholarship Council. We are grateful to the referee of an earlier version of this paper for comments and suggestions that have lead to improvements in the bounds and their proofs. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Annali di Matematica Pura ed Applicata (1923 -) es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Abelian group es_ES
dc.subject Soluble group es_ES
dc.subject Polycyclic group es_ES
dc.subject Rank es_ES
dc.subject Factorisations es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the Prufer rank of mutually permutable products of abelian groups es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10231-018-0800-6 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F057/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CSC//201606890006/ 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.; Cossey, J.; Meng, H.; Pedraza Aguilera, MC. (2019). On the Prufer rank of mutually permutable products of abelian groups. Annali di Matematica Pura ed Applicata (1923 -). 198(3):811-819. https://doi.org/10.1007/s10231-018-0800-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s10231-018-0800-6 es_ES
dc.description.upvformatpinicio 811 es_ES
dc.description.upvformatpfin 819 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 198 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\406520 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder China Scholarship Council es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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