On finite minimal non-nilpotent groups

[EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s...

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Detalles Bibliográficos
Autores: Ballester Bolinches, Adolfo, Esteban Romero, Ramón, Robinson, Derek J. S.
Tipo de recurso: artículo
Fecha de publicación:2005
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:10251/19040
Acceso en línea:https://riunet.upv.es/handle/10251/19040
Access Level:acceso abierto
Palabra clave:Critical group
Finite group
Class of finite groups
Minimal non-nilpotent group
Schmidt group
Pst-group
Sylow-permutable subgroup
Sylow subgroup
MATEMATICA APLICADA
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spelling On finite minimal non-nilpotent groupsBallester Bolinches, AdolfoEsteban Romero, RamónRobinson, Derek J. S.Critical groupFinite groupClass of finite groupsMinimal non-nilpotent groupSchmidt groupPst-groupSylow-permutable subgroupSylow subgroupMATEMATICA APLICADA[EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups.This work was supported by Proyecto BFM2001-1667-C03-03 (MCyT) and FEDER (European Union).American Mathematical SocietyMinisterio de Ciencia y TecnologíaRepositorio Institucional de la Universitat Politècnica de València Riunet20052005-06-08journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/19040reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Educación y Ciencia https://doi.org/10.13039/501100008743 BFM2001-1667-C03-03 Los grupos a través de sus acciones IIIopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/190402026-06-13T07:49:27Z
dc.title.none.fl_str_mv On finite minimal non-nilpotent groups
title On finite minimal non-nilpotent groups
spellingShingle On finite minimal non-nilpotent groups
Ballester Bolinches, Adolfo
Critical group
Finite group
Class of finite groups
Minimal non-nilpotent group
Schmidt group
Pst-group
Sylow-permutable subgroup
Sylow subgroup
MATEMATICA APLICADA
title_short On finite minimal non-nilpotent groups
title_full On finite minimal non-nilpotent groups
title_fullStr On finite minimal non-nilpotent groups
title_full_unstemmed On finite minimal non-nilpotent groups
title_sort On finite minimal non-nilpotent groups
dc.creator.none.fl_str_mv Ballester Bolinches, Adolfo
Esteban Romero, Ramón
Robinson, Derek J. S.
author Ballester Bolinches, Adolfo
author_facet Ballester Bolinches, Adolfo
Esteban Romero, Ramón
Robinson, Derek J. S.
author_role author
author2 Esteban Romero, Ramón
Robinson, Derek J. S.
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia y Tecnología
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Critical group
Finite group
Class of finite groups
Minimal non-nilpotent group
Schmidt group
Pst-group
Sylow-permutable subgroup
Sylow subgroup
MATEMATICA APLICADA
topic Critical group
Finite group
Class of finite groups
Minimal non-nilpotent group
Schmidt group
Pst-group
Sylow-permutable subgroup
Sylow subgroup
MATEMATICA APLICADA
description [EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-06-08
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/10251/19040
url https://riunet.upv.es/handle/10251/19040
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Educación y Ciencia https://doi.org/10.13039/501100008743 BFM2001-1667-C03-03 Los grupos a través de sus acciones III
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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 15.300719

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