Prefactorized subgroups in pairwise mutually permutable products

We continue here our study of pairwise mutually and pairwise totally permutable products. We are looking for subgroups of the product in which the given factorization induces a factorization of the subgroup. In the case of soluble groups, it is shown that a prefactorized Carter subgroup and a prefac...

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Detalles Bibliográficos
Autores: Ballester-Bolinches, A., Beidleman, JC, Heineken, H, Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
Tipo de recurso: artículo
Fecha de publicación:2013
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/46242
Acceso en línea:https://riunet.upv.es/handle/10251/46242
Access Level:acceso abierto
Palabra clave:Finite groups
Permutability
Factorization
Saturated formations
IUMPA
MATEMATICA APLICADA
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spelling Prefactorized subgroups in pairwise mutually permutable productsBallester-Bolinches, A.Beidleman, JCHeineken, HPedraza Aguilera, María Carmen|||0000-0003-0888-9310Finite groupsPermutabilityFactorizationSaturated formationsIUMPAMATEMATICA APLICADAWe continue here our study of pairwise mutually and pairwise totally permutable products. We are looking for subgroups of the product in which the given factorization induces a factorization of the subgroup. In the case of soluble groups, it is shown that a prefactorized Carter subgroup and a prefactorized system normalizer exist.Aless stringent property have F-residual, F-projector and F-normalizer for any saturated formation F including the supersoluble groups.The first and fourth authors have been supported by the grant MTM2010-19938-C03-01 from MICINN (Spain).Springer VerlagDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaMinisterio de Ciencia e InnovaciónRepositorio Institucional de la Universitat Politècnica de València Riunet20132013-12-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/46242reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-19938-C03-01 PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES Iopen accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/462422026-06-13T07:49:27Z
dc.title.none.fl_str_mv Prefactorized subgroups in pairwise mutually permutable products
title Prefactorized subgroups in pairwise mutually permutable products
spellingShingle Prefactorized subgroups in pairwise mutually permutable products
Ballester-Bolinches, A.
Finite groups
Permutability
Factorization
Saturated formations
IUMPA
MATEMATICA APLICADA
title_short Prefactorized subgroups in pairwise mutually permutable products
title_full Prefactorized subgroups in pairwise mutually permutable products
title_fullStr Prefactorized subgroups in pairwise mutually permutable products
title_full_unstemmed Prefactorized subgroups in pairwise mutually permutable products
title_sort Prefactorized subgroups in pairwise mutually permutable products
dc.creator.none.fl_str_mv Ballester-Bolinches, A.
Beidleman, JC
Heineken, H
Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
author Ballester-Bolinches, A.
author_facet Ballester-Bolinches, A.
Beidleman, JC
Heineken, H
Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
author_role author
author2 Beidleman, JC
Heineken, H
Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Técnica Superior de Ingeniería Informática
Ministerio de Ciencia e Innovación
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite groups
Permutability
Factorization
Saturated formations
IUMPA
MATEMATICA APLICADA
topic Finite groups
Permutability
Factorization
Saturated formations
IUMPA
MATEMATICA APLICADA
description We continue here our study of pairwise mutually and pairwise totally permutable products. We are looking for subgroups of the product in which the given factorization induces a factorization of the subgroup. In the case of soluble groups, it is shown that a prefactorized Carter subgroup and a prefactorized system normalizer exist.Aless stringent property have F-residual, F-projector and F-normalizer for any saturated formation F including the supersoluble groups.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-12-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/46242
url https://riunet.upv.es/handle/10251/46242
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2010-19938-C03-01 PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE LOS GRUPOS. APLICACIONES I
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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