Definable group extensions and o-minimal group cohomology via spectral sequences

We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups. We also present various results on definable modules and actions, definable extensions and group coh...

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Autores:
Barriga, Eliana
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/49338
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/49338
http://bdigital.unal.edu.co/42795/
Palabra clave:
o-minimalidad
extensiones definibles
cohomología o-minimal
G--módulo definible
sucesión espectral de LHS
03C64
20J06
06F25
o-Minimality
Definable extensions
o-Minimal cohomology
Definable G--module
LHS spectral sequences
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Barriga, Elianabae3c669-c3cc-4ed6-bbf0-79a211b7d2293002019-06-29T08:36:22Z2019-06-29T08:36:22Z2013https://repositorio.unal.edu.co/handle/unal/49338http://bdigital.unal.edu.co/42795/We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups. We also present various results on definable modules and actions, definable extensions and group cohomology of definable groups. These have applications to the study of non-definably compact groups definable in o-minimal theories (see [1]).Se presenta el fundamento teórico para las sucesiones espectrales de Lyndon-Hochschild-Serre como una herramienta para estudiar la cohomología de grupos y con ésta las extensiones de grupos en la categoría de los grupos definibles. También se presentan varios resultados en módulos definibles y acciones, extensiones definibles y cohomología de grupos definibles. Estos tienen aplicaciones en el estudio de los grupos definibles no definiblemente compactos en teorías o-minimales (see [1]).application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45179Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 113-130 2357-4100 0034-7426Barriga, Eliana (2013) Definable group extensions and o-minimal group cohomology via spectral sequences. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 113-130 2357-4100 0034-7426 .Definable group extensions and o-minimal group cohomology via spectral sequencesArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTo-minimalidadextensiones definiblescohomología o-minimalG--módulo definiblesucesión espectral de LHS03C6420J0606F25o-MinimalityDefinable extensionso-Minimal cohomologyDefinable G--moduleLHS spectral sequencesORIGINAL45179-216908-2-PB.htmltext/html4608https://repositorio.unal.edu.co/bitstream/unal/49338/1/45179-216908-2-PB.html435b6382681d449d9a104cd0b9e30553MD5145179-216907-1-SM.pdfapplication/pdf469465https://repositorio.unal.edu.co/bitstream/unal/49338/2/45179-216907-1-SM.pdf610a17c7107c3e2fc701488d55093e41MD52THUMBNAIL45179-216907-1-SM.pdf.jpg45179-216907-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5449https://repositorio.unal.edu.co/bitstream/unal/49338/3/45179-216907-1-SM.pdf.jpgae6028c2e2be6f16fd859fa236582085MD53unal/49338oai:repositorio.unal.edu.co:unal/493382022-12-14 23:03:59.254Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Definable group extensions and o-minimal group cohomology via spectral sequences
title Definable group extensions and o-minimal group cohomology via spectral sequences
spellingShingle Definable group extensions and o-minimal group cohomology via spectral sequences
o-minimalidad
extensiones definibles
cohomología o-minimal
G--módulo definible
sucesión espectral de LHS
03C64
20J06
06F25
o-Minimality
Definable extensions
o-Minimal cohomology
Definable G--module
LHS spectral sequences
title_short Definable group extensions and o-minimal group cohomology via spectral sequences
title_full Definable group extensions and o-minimal group cohomology via spectral sequences
title_fullStr Definable group extensions and o-minimal group cohomology via spectral sequences
title_full_unstemmed Definable group extensions and o-minimal group cohomology via spectral sequences
title_sort Definable group extensions and o-minimal group cohomology via spectral sequences
dc.creator.fl_str_mv Barriga, Eliana
dc.contributor.author.spa.fl_str_mv Barriga, Eliana
dc.subject.proposal.spa.fl_str_mv o-minimalidad
extensiones definibles
cohomología o-minimal
G--módulo definible
sucesión espectral de LHS
03C64
20J06
06F25
o-Minimality
Definable extensions
o-Minimal cohomology
Definable G--module
LHS spectral sequences
topic o-minimalidad
extensiones definibles
cohomología o-minimal
G--módulo definible
sucesión espectral de LHS
03C64
20J06
06F25
o-Minimality
Definable extensions
o-Minimal cohomology
Definable G--module
LHS spectral sequences
description We provide the theoretical foundation for the Lyndon-Hochschild-Serre spectral sequence as a tool to study the group cohomology and with this the group extensions in the category of definable groups. We also present various results on definable modules and actions, definable extensions and group cohomology of definable groups. These have applications to the study of non-definably compact groups definable in o-minimal theories (see [1]).
publishDate 2013
dc.date.issued.spa.fl_str_mv 2013
dc.date.accessioned.spa.fl_str_mv 2019-06-29T08:36:22Z
dc.date.available.spa.fl_str_mv 2019-06-29T08:36:22Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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format http://purl.org/coar/resource_type/c_6501
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dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/49338
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/42795/
url https://repositorio.unal.edu.co/handle/unal/49338
http://bdigital.unal.edu.co/42795/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/45179
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 113-130 2357-4100 0034-7426
dc.relation.references.spa.fl_str_mv Barriga, Eliana (2013) Definable group extensions and o-minimal group cohomology via spectral sequences. Revista Colombiana de Matemáticas; Vol. 47, núm. 2 (2013); 113-130 2357-4100 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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