On universal central extensions of precrossed and crossed modules

[EN] We study the connection between universal central extensions in the categories of precrossed and crossed modules. They are compared with several kinds of universal central extensions in the categories of groups, epimorphisms of groups, groups with operators and modules over a group. We study th...

Descripción completa

Detalles Bibliográficos
Autores: Arias Mosquera, Daniel, Casas, José Manuel, Ladra, Manuel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2007
País:España
Institución:Universidad de León
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/21179
Acceso en línea:https://www.sciencedirect.com/science/article/pii/S0022404906001915
https://hdl.handle.net/10612/21179
Access Level:acceso abierto
Palabra clave:Matemáticas
Universal central extension
Precrossed module
Crossed module
Perfect group
Relative central extension
Central equivariant extension
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
id ES_99c2cbdcaa56e39644237e7b8d8d8eeb
oai_identifier_str oai:buleria.unileon.es:10612/21179
network_acronym_str ES
network_name_str España
repository_id_str
spelling On universal central extensions of precrossed and crossed modulesArias Mosquera, DanielCasas, José ManuelLadra, ManuelMatemáticasUniversal central extensionPrecrossed moduleCrossed modulePerfect groupRelative central extensionCentral equivariant extension1201.03 Teoría de Categorías1201.06 Grupos, Generalidades1201.07 Álgebra Homológica[EN] We study the connection between universal central extensions in the categories of precrossed and crossed modules. They are compared with several kinds of universal central extensions in the categories of groups, epimorphisms of groups, groups with operators and modules over a group. We study the relationship between the homologies defined in these categories. Applications to relative algebraic -theory are also obtained.SIMinisterio de Ciencia y TecnologíaXunta de GaliciaElsevierMatematica AplicadaEscuela de Ingenierias Industrial, Informática y Aeroespacial2007info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttps://www.sciencedirect.com/science/article/pii/S0022404906001915https://hdl.handle.net/10612/21179reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónInglésBFM2003-04686-C02PGIDT04PXIC37101PNPGIDT04PXIC20702PNhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/211792026-06-24T12:43:27Z
dc.title.none.fl_str_mv On universal central extensions of precrossed and crossed modules
title On universal central extensions of precrossed and crossed modules
spellingShingle On universal central extensions of precrossed and crossed modules
Arias Mosquera, Daniel
Matemáticas
Universal central extension
Precrossed module
Crossed module
Perfect group
Relative central extension
Central equivariant extension
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
title_short On universal central extensions of precrossed and crossed modules
title_full On universal central extensions of precrossed and crossed modules
title_fullStr On universal central extensions of precrossed and crossed modules
title_full_unstemmed On universal central extensions of precrossed and crossed modules
title_sort On universal central extensions of precrossed and crossed modules
dc.creator.none.fl_str_mv Arias Mosquera, Daniel
Casas, José Manuel
Ladra, Manuel
author Arias Mosquera, Daniel
author_facet Arias Mosquera, Daniel
Casas, José Manuel
Ladra, Manuel
author_role author
author2 Casas, José Manuel
Ladra, Manuel
author2_role author
author
dc.contributor.none.fl_str_mv Matematica Aplicada
Escuela de Ingenierias Industrial, Informática y Aeroespacial
dc.subject.none.fl_str_mv Matemáticas
Universal central extension
Precrossed module
Crossed module
Perfect group
Relative central extension
Central equivariant extension
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
topic Matemáticas
Universal central extension
Precrossed module
Crossed module
Perfect group
Relative central extension
Central equivariant extension
1201.03 Teoría de Categorías
1201.06 Grupos, Generalidades
1201.07 Álgebra Homológica
description [EN] We study the connection between universal central extensions in the categories of precrossed and crossed modules. They are compared with several kinds of universal central extensions in the categories of groups, epimorphisms of groups, groups with operators and modules over a group. We study the relationship between the homologies defined in these categories. Applications to relative algebraic -theory are also obtained.
publishDate 2007
dc.date.none.fl_str_mv 2007
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S0022404906001915
https://hdl.handle.net/10612/21179
url https://www.sciencedirect.com/science/article/pii/S0022404906001915
https://hdl.handle.net/10612/21179
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv BFM2003-04686-C02
PGIDT04PXIC37101PN
PGIDT04PXIC20702PN
dc.rights.none.fl_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:BULERIA. Repositorio Institucional de la Universidad de León
instname:Universidad de León
instname_str Universidad de León
reponame_str BULERIA. Repositorio Institucional de la Universidad de León
collection BULERIA. Repositorio Institucional de la Universidad de León
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869414315646255104
score 15,812455

Similares en LA Referencia