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A class of generalised finite T-groups

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A class of generalised finite T-groups

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dc.contributor.author Ballester-Bolinches, A es_ES
dc.contributor.author Feldman ., A.D es_ES
dc.contributor.author Pedraza Aguilera, María Carmen es_ES
dc.contributor.author Ragland., M.F es_ES
dc.date.accessioned 2014-05-21T16:01:02Z
dc.date.issued 2011-05
dc.identifier.issn 0021-8693
dc.identifier.uri http://hdl.handle.net/10251/37665
dc.description.abstract Let F be a formation (of finite groups) containing all nilpotent groups such that any normal subgroup of any T-group in F and any subgroup of any soluble T-group in F belongs to F. A subgroup M of a finite group G is said to be F-normal in G if G/CoreG(M) belongs to F. Named after Kegel, a subgroup U of a finite group G is called a K- F-subnormal subgroup of G if either U=G or U=U0?U1???Un=G such that Ui?1 is either normal in Ui or Ui1 is F-normal in Ui, for i=1,2,...,n. We call a finite group G a TF-group if every K- F-subnormal subgroup of G is normal in G. When F is the class of all finite nilpotent groups, the TF-groups are precisely the T-groups. The aim of this paper is to analyse the structure of the TF-groups and show that in many cases TF is much more restrictive than T. © 2011 Elsevier Inc. es_ES
dc.description.sponsorship The authors would like to thank the referee and Ramon Esteban-Romero for useful and insightful comments. The first and the third authors have been supported by the grant MTM2007-68010-C03-02 from Ministerio de Educacion y Ciencia (Spain) and FEDER (European Union). en_EN
dc.format.extent 11 es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation info:eu-repo/grantAgreement/MEC//MTM2007-68010-C03-02/ES/GRUPOS: ESTRUCTURA Y APLICACIONES II/ es_ES
dc.relation FEDER (European Union) es_ES
dc.relation.ispartof Journal of Algebra es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject F-subnormal subgroup es_ES
dc.subject Formation es_ES
dc.subject Pronormal subgroup es_ES
dc.subject Subnormal subgroup es_ES
dc.subject T-group es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A class of generalised finite T-groups es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1016/j.jalgebra.2011.02.018
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.; Feldman ., A.; Pedraza Aguilera, MC.; Ragland., M. (2011). A class of generalised finite T-groups. Journal of Algebra. 333(1):128-138. https://doi.org/10.1016/j.jalgebra.2011.02.018 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.jalgebra.2011.02.018 es_ES
dc.description.upvformatpinicio 128 es_ES
dc.description.upvformatpfin 138 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 333 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 213768
dc.contributor.funder Ministerio de Educación y Ciencia es_ES


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