Linear groups with the maximal condition on subgroups of infinite central dimension

Let A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise. We consider soluble linear groups, in which the (ordered by i...

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Detalhes bibliográficos
Autores: Kurdachenko, L. A., Subbotin, Igor Ya
Formato: artículo
Fecha de publicación:2006
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:5132
Acesso em linha:https://ddd.uab.cat/record/5132
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_06
Access Level:acceso abierto
Palavra-chave:Infinite dimensional linear groups
The maximal condition
Soluble groups
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spelling Linear groups with the maximal condition on subgroups of infinite central dimensionKurdachenko, L. A.Subbotin, Igor YaInfinite dimensional linear groupsThe maximal conditionSoluble groupsLet A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise. We consider soluble linear groups, in which the (ordered by inclusion) set of all subgroups having infinite central dimension satisfies the maximal condition. 22006-01-0120062006-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/5132https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_06reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:51322026-06-06T12:50:31Z
dc.title.none.fl_str_mv Linear groups with the maximal condition on subgroups of infinite central dimension
title Linear groups with the maximal condition on subgroups of infinite central dimension
spellingShingle Linear groups with the maximal condition on subgroups of infinite central dimension
Kurdachenko, L. A.
Infinite dimensional linear groups
The maximal condition
Soluble groups
title_short Linear groups with the maximal condition on subgroups of infinite central dimension
title_full Linear groups with the maximal condition on subgroups of infinite central dimension
title_fullStr Linear groups with the maximal condition on subgroups of infinite central dimension
title_full_unstemmed Linear groups with the maximal condition on subgroups of infinite central dimension
title_sort Linear groups with the maximal condition on subgroups of infinite central dimension
dc.creator.none.fl_str_mv Kurdachenko, L. A.
Subbotin, Igor Ya
author Kurdachenko, L. A.
author_facet Kurdachenko, L. A.
Subbotin, Igor Ya
author_role author
author2 Subbotin, Igor Ya
author2_role author
dc.subject.none.fl_str_mv Infinite dimensional linear groups
The maximal condition
Soluble groups
topic Infinite dimensional linear groups
The maximal condition
Soluble groups
description Let A a vector space over a field F and let H be a subgroup of GL(F, A). We define centdimF H to be dimF (A/CA (H)). We say that H has finite central dimension if centdimF H is finite and we say that H has infinite central dimension otherwise. We consider soluble linear groups, in which the (ordered by inclusion) set of all subgroups having infinite central dimension satisfies the maximal condition.
publishDate 2006
dc.date.none.fl_str_mv 2
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_06
url https://ddd.uab.cat/record/5132
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_50106_06
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
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https://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
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eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
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