On a class of generalised Schmidt groups

In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the or...

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Detalles Bibliográficos
Autores: Ballester Bolinches, Adolfo, Esteban Romero, Ramón, Jiang, Qinhui, Li, Xianhua
Tipo de recurso: artículo
Fecha de publicación:2015
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:10251/64841
Acceso en línea:https://riunet.upv.es/handle/10251/64841
Access Level:acceso abierto
Palabra clave:Finite groups
Nilpotent groups
Maximal subgroups
MATEMATICA APLICADA
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spelling On a class of generalised Schmidt groupsBallester Bolinches, AdolfoEsteban Romero, RamónJiang, QinhuiLi, XianhuaFinite groupsNilpotent groupsMaximal subgroupsMATEMATICA APLICADAIn this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.The first and second authors have been supported by the Research Grant MTM2010-19938-C03-01 from the Ministerio de Ciencia e Innovacion of Spain. The first author has also been supported by a project of the National Natural Science Foundation of China (No. 11271085). The third author has been supported by the China Postdoctoral Science Foundation funded project (No. 20100480582) and National Natural Science Foundation of China (No. 11101258). The fourth author has been supported by the National Natural Science Foundation of China (No. 11171243) and University of Jinan Research Funds for Doctors (XBS1335, XBS1336).SpringerFondazione Annali di Matematica Pura ed ApplicataMinisterio de Ciencia e InnovaciónChina Postdoctoral Science FoundationNational Natural Science Foundation of ChinaRepositorio Institucional de la Universitat Politècnica de València Riunet20152015-02-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/64841reponame: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 IChina Postdoctoral Science Foundation China Postdoctoral Science Foundation 20100480582National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11101258National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11171243open 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:10251/648412026-06-13T07:49:27Z
dc.title.none.fl_str_mv On a class of generalised Schmidt groups
title On a class of generalised Schmidt groups
spellingShingle On a class of generalised Schmidt groups
Ballester Bolinches, Adolfo
Finite groups
Nilpotent groups
Maximal subgroups
MATEMATICA APLICADA
title_short On a class of generalised Schmidt groups
title_full On a class of generalised Schmidt groups
title_fullStr On a class of generalised Schmidt groups
title_full_unstemmed On a class of generalised Schmidt groups
title_sort On a class of generalised Schmidt groups
dc.creator.none.fl_str_mv Ballester Bolinches, Adolfo
Esteban Romero, Ramón
Jiang, Qinhui
Li, Xianhua
author Ballester Bolinches, Adolfo
author_facet Ballester Bolinches, Adolfo
Esteban Romero, Ramón
Jiang, Qinhui
Li, Xianhua
author_role author
author2 Esteban Romero, Ramón
Jiang, Qinhui
Li, Xianhua
author2_role author
author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación
China Postdoctoral Science Foundation
National Natural Science Foundation of China
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite groups
Nilpotent groups
Maximal subgroups
MATEMATICA APLICADA
topic Finite groups
Nilpotent groups
Maximal subgroups
MATEMATICA APLICADA
description In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-02-01
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/10251/64841
url https://riunet.upv.es/handle/10251/64841
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
China Postdoctoral Science Foundation China Postdoctoral Science Foundation 20100480582
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11101258
National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11171243
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
Fondazione Annali di Matematica Pura ed Applicata
publisher.none.fl_str_mv Springer
Fondazione Annali di Matematica Pura ed Applicata
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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