On sigma-subnormality criteria in finite sigma-soluble groups

[EN] Let sigma = {sigma(i) : i is an element of I} be a partition of the set P of all prime numbers. A subgroup X of a finite group G is called sigma-subnormal in G if there is a chain of subgroups X = X-0 subset of X-1 subset of center dot center dot center dot subset of X-n = G where for every j =...

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Autores: Ballester-Bolinches, A., Kamornikov, S. F., Pérez-Calabuig, V., Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/176202
Acesso em linha:https://riunet.upv.es/handle/10251/176202
Access Level:acceso abierto
Palavra-chave:Finite group
Sigma-Solubility
Sigma-Nilpotency
Sigma-Subnormal subgroup
Factorised group
MATEMATICA APLICADA
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spelling On sigma-subnormality criteria in finite sigma-soluble groupsBallester-Bolinches, A.Kamornikov, S. F.Pérez-Calabuig, V.Pedraza Aguilera, María Carmen|||0000-0003-0888-9310Finite groupSigma-SolubilitySigma-NilpotencySigma-Subnormal subgroupFactorised groupMATEMATICA APLICADA[EN] Let sigma = {sigma(i) : i is an element of I} be a partition of the set P of all prime numbers. A subgroup X of a finite group G is called sigma-subnormal in G if there is a chain of subgroups X = X-0 subset of X-1 subset of center dot center dot center dot subset of X-n = G where for every j = 1,..., n the subgroup X j-1 is normal in X j or X j /CoreX j ( X j-1) is a si -group for some i. I. In the special case that s is the partition of P into sets containing exactly one prime each, the sigma-subnormality reduces to the familiar case of subnormality. In this paper some sigma-subnormality criteria for subgroups of s-soluble groups, or groups in which every chief factor is a sigma(i)-group, for some sigma(i) sigma s, are showed.The first and third authors are supported by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades and the Agencia Estatal de Investigacion, Spain, and FEDER, European Union and Prometeo/2017/057 of Generalitat (Valencian Community, Spain). The second author was supported by the State Program of Science Researchers of the Republic of Belarus (Grant 19-54 "Convergence-2020").Springer-VerlagDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Técnica Superior de Ingeniería InformáticaGeneralitat ValencianaEuropean Regional Development FundMinisterio de Ciencia, Innovación y Universidades y Agencia Estatal de Investigación, y FEDER, European UnionRepositorio Institucional de la Universitat Politècnica de València Riunet20202020-03-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/176202reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095140-B-I00 GRUPOS: ESTRUCTURA Y APLICACIONESGeneralitat Valenciana https://doi.org/10.13039/501100003359 Prometeo%2F2017%2F057 Grupos y semigrupos: estructura y aplicacionesopen 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:10251/1762022026-06-13T07:49:27Z
dc.title.none.fl_str_mv On sigma-subnormality criteria in finite sigma-soluble groups
title On sigma-subnormality criteria in finite sigma-soluble groups
spellingShingle On sigma-subnormality criteria in finite sigma-soluble groups
Ballester-Bolinches, A.
Finite group
Sigma-Solubility
Sigma-Nilpotency
Sigma-Subnormal subgroup
Factorised group
MATEMATICA APLICADA
title_short On sigma-subnormality criteria in finite sigma-soluble groups
title_full On sigma-subnormality criteria in finite sigma-soluble groups
title_fullStr On sigma-subnormality criteria in finite sigma-soluble groups
title_full_unstemmed On sigma-subnormality criteria in finite sigma-soluble groups
title_sort On sigma-subnormality criteria in finite sigma-soluble groups
dc.creator.none.fl_str_mv Ballester-Bolinches, A.
Kamornikov, S. F.
Pérez-Calabuig, V.
Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
author Ballester-Bolinches, A.
author_facet Ballester-Bolinches, A.
Kamornikov, S. F.
Pérez-Calabuig, V.
Pedraza Aguilera, María Carmen|||0000-0003-0888-9310
author_role author
author2 Kamornikov, S. F.
Pérez-Calabuig, V.
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
Generalitat Valenciana
European Regional Development Fund
Ministerio de Ciencia, Innovación y Universidades y Agencia Estatal de Investigación, y FEDER, European Union
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Finite group
Sigma-Solubility
Sigma-Nilpotency
Sigma-Subnormal subgroup
Factorised group
MATEMATICA APLICADA
topic Finite group
Sigma-Solubility
Sigma-Nilpotency
Sigma-Subnormal subgroup
Factorised group
MATEMATICA APLICADA
description [EN] Let sigma = {sigma(i) : i is an element of I} be a partition of the set P of all prime numbers. A subgroup X of a finite group G is called sigma-subnormal in G if there is a chain of subgroups X = X-0 subset of X-1 subset of center dot center dot center dot subset of X-n = G where for every j = 1,..., n the subgroup X j-1 is normal in X j or X j /CoreX j ( X j-1) is a si -group for some i. I. In the special case that s is the partition of P into sets containing exactly one prime each, the sigma-subnormality reduces to the familiar case of subnormality. In this paper some sigma-subnormality criteria for subgroups of s-soluble groups, or groups in which every chief factor is a sigma(i)-group, for some sigma(i) sigma s, are showed.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-03-02
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/10251/176202
url https://riunet.upv.es/handle/10251/176202
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095140-B-I00 GRUPOS: ESTRUCTURA Y APLICACIONES
Generalitat Valenciana https://doi.org/10.13039/501100003359 Prometeo%2F2017%2F057 Grupos y semigrupos: estructura y aplicaciones
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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score 15.301603

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