Componentes conexas de grupos em teorias NIP

Detalhes bibliográficos
Autor(a) principal: Ortiz, Marby Zuley Bolaños
Data de Publicação: 2017
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Repositório Institucional da UFG
dARK ID: ark:/38995/001300000bp7m
Texto Completo: http://repositorio.bc.ufg.br/tede/handle/tede/7089
Resumo: In this work, we estudied three special subgroups of bounded index in G: The intersection of subgroups definables of G, the small type-definable subgroup and the small invariant subgroup of G, called connected components of G and denoted G0G00 e G¥. We give an exposition of theorem of Gismatullim, where he proved the existence of G¥ in a theory with NIP.
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spelling Lima, Aline de Souzahttp://lattes.cnpq.br/1518865173435209Ventura, Daniel Limahttp://lattes.cnpq.br/4443822193261575Melo, Emerson Ferreira deOliveira, Ricardo Nunes dehttp://lattes.cnpq.br/2170688093196897Ortiz, Marby Zuley Bolaños2017-04-06T12:58:41Z2017-03-30ORTIZ, M. Z. B. Componentes conexas de grupos em teorias NIP. 2017. 103 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.http://repositorio.bc.ufg.br/tede/handle/tede/7089ark:/38995/001300000bp7mIn this work, we estudied three special subgroups of bounded index in G: The intersection of subgroups definables of G, the small type-definable subgroup and the small invariant subgroup of G, called connected components of G and denoted G0G00 e G¥. We give an exposition of theorem of Gismatullim, where he proved the existence of G¥ in a theory with NIP.Neste trabalho estudamos três subgrupos de um grupo G com índices limitados em G: A interseção de todos os subgrupos definíveis de G , o menor subgrupo tipo-definível e o menor subgrupo invariante de G, chamados componentes conexas de G, denotados respectivamente G0G00 e G¥. Apresentamos uma demonstração da existência de G¥ em uma teoria NIP, baseados na prova feita por Gismatullin em 2011.Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-06T12:58:28Z No. of bitstreams: 2 Dissertação - Marby Zuley Bolaños Ortiz - 2017.pdf: 1515856 bytes, checksum: 739fa4d4c051b1c82f2f7ed1e4427c73 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-04-06T12:58:41Z (GMT) No. of bitstreams: 2 Dissertação - Marby Zuley Bolaños Ortiz - 2017.pdf: 1515856 bytes, checksum: 739fa4d4c051b1c82f2f7ed1e4427c73 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)Made available in DSpace on 2017-04-06T12:58:41Z (GMT). No. of bitstreams: 2 Dissertação - Marby Zuley Bolaños Ortiz - 2017.pdf: 1515856 bytes, checksum: 739fa4d4c051b1c82f2f7ed1e4427c73 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2017-03-30Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqapplication/pdfporUniversidade Federal de GoiásPrograma de Pós-graduação em Matemática (IME)UFGBrasilInstituto de Matemática e Estatística - IME (RG)http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessModelo monstro cGrupo de LascarComponente conexaTipo-definibilidadeMonster modelThe Lascar groupConnected componentCconnected componentMATEMATICA::ALGEBRAComponentes conexas de grupos em teorias NIPConnected componentes of groupd in NIP theoriesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesis6600717948137941247600600600600-4268777512335152015-6383368357733941552-2555911436985713659reponame:Repositório Institucional da UFGinstname:Universidade Federal de Goiás (UFG)instacron:UFGORIGINALDissertação - Marby Zuley Bolaños Ortiz - 2017.pdfDissertação - Marby Zuley Bolaños Ortiz - 2017.pdfapplication/pdf1515856http://repositorio.bc.ufg.br/tede/bitstreams/20f8a07e-e7bf-4799-aeb3-a3a9ccbadbce/download739fa4d4c051b1c82f2f7ed1e4427c73MD55CC-LICENSElicense_urllicense_urltext/plain; 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dc.title.por.fl_str_mv Componentes conexas de grupos em teorias NIP
dc.title.alternative.eng.fl_str_mv Connected componentes of groupd in NIP theories
title Componentes conexas de grupos em teorias NIP
spellingShingle Componentes conexas de grupos em teorias NIP
Ortiz, Marby Zuley Bolaños
Modelo monstro c
Grupo de Lascar
Componente conexa
Tipo-definibilidade
Monster model
The Lascar group
Connected component
Cconnected component
MATEMATICA::ALGEBRA
title_short Componentes conexas de grupos em teorias NIP
title_full Componentes conexas de grupos em teorias NIP
title_fullStr Componentes conexas de grupos em teorias NIP
title_full_unstemmed Componentes conexas de grupos em teorias NIP
title_sort Componentes conexas de grupos em teorias NIP
author Ortiz, Marby Zuley Bolaños
author_facet Ortiz, Marby Zuley Bolaños
author_role author
dc.contributor.advisor1.fl_str_mv Lima, Aline de Souza
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1518865173435209
dc.contributor.advisor-co1.fl_str_mv Ventura, Daniel Lima
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/4443822193261575
dc.contributor.referee1.fl_str_mv Melo, Emerson Ferreira de
dc.contributor.referee2.fl_str_mv Oliveira, Ricardo Nunes de
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/2170688093196897
dc.contributor.author.fl_str_mv Ortiz, Marby Zuley Bolaños
contributor_str_mv Lima, Aline de Souza
Ventura, Daniel Lima
Melo, Emerson Ferreira de
Oliveira, Ricardo Nunes de
dc.subject.por.fl_str_mv Modelo monstro c
Grupo de Lascar
Componente conexa
Tipo-definibilidade
topic Modelo monstro c
Grupo de Lascar
Componente conexa
Tipo-definibilidade
Monster model
The Lascar group
Connected component
Cconnected component
MATEMATICA::ALGEBRA
dc.subject.eng.fl_str_mv Monster model
The Lascar group
Connected component
Cconnected component
dc.subject.cnpq.fl_str_mv MATEMATICA::ALGEBRA
description In this work, we estudied three special subgroups of bounded index in G: The intersection of subgroups definables of G, the small type-definable subgroup and the small invariant subgroup of G, called connected components of G and denoted G0G00 e G¥. We give an exposition of theorem of Gismatullim, where he proved the existence of G¥ in a theory with NIP.
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-04-06T12:58:41Z
dc.date.issued.fl_str_mv 2017-03-30
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv ORTIZ, M. Z. B. Componentes conexas de grupos em teorias NIP. 2017. 103 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.
dc.identifier.uri.fl_str_mv http://repositorio.bc.ufg.br/tede/handle/tede/7089
dc.identifier.dark.fl_str_mv ark:/38995/001300000bp7m
identifier_str_mv ORTIZ, M. Z. B. Componentes conexas de grupos em teorias NIP. 2017. 103 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2017.
ark:/38995/001300000bp7m
url http://repositorio.bc.ufg.br/tede/handle/tede/7089
dc.language.iso.fl_str_mv por
language por
dc.relation.program.fl_str_mv 6600717948137941247
dc.relation.confidence.fl_str_mv 600
600
600
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dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Goiás
dc.publisher.program.fl_str_mv Programa de Pós-graduação em Matemática (IME)
dc.publisher.initials.fl_str_mv UFG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Instituto de Matemática e Estatística - IME (RG)
publisher.none.fl_str_mv Universidade Federal de Goiás
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