Commensurator subgroups of surface groups

Let $M$ be a surface, and let $H$ be a subgroup of $\pi_{1}M$. In this paper we study the commensurator subgroup $C_{\pi_{1}M}(H)$ of $\pi_{1}M$, and we extend a result of L. Paris and D. Rolfsen \cite{Paris-Rolfsen}, when $H$ is a geometric subgroup of $\pi_{1}M$. We also give an application of com...

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Autores:
Ocampo Uribe, Oscar Eduardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39797
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39797
http://bdigital.unal.edu.co/29894/
Palabra clave:
Commensurator
Fundamental group
Surface
20F65
57M05
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_abf2Ocampo Uribe, Oscar Eduardoa59adf47-752c-4e5e-bc6d-ba8cde08638e3002019-06-28T04:28:07Z2019-06-28T04:28:07Z2010https://repositorio.unal.edu.co/handle/unal/39797http://bdigital.unal.edu.co/29894/Let $M$ be a surface, and let $H$ be a subgroup of $\pi_{1}M$. In this paper we study the commensurator subgroup $C_{\pi_{1}M}(H)$ of $\pi_{1}M$, and we extend a result of L. Paris and D. Rolfsen \cite{Paris-Rolfsen}, when $H$ is a geometric subgroup of $\pi_{1}M$. We also give an application of commensurator subgroups to group representation theory. Finally, by considering certain closed curves on the Klein bottle, we apply a classification of these curves to self-intersection Nielsen theory.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28590Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 1-13 0034-7426Ocampo Uribe, Oscar Eduardo (2010) Commensurator subgroups of surface groups. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 1-13 0034-7426 .Commensurator subgroups of surface groupsArtículo 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/ARTCommensuratorFundamental groupSurface20F6557M05ORIGINAL28590-102368-1-PB.pdfapplication/pdf186460https://repositorio.unal.edu.co/bitstream/unal/39797/1/28590-102368-1-PB.pdf19bef2fa87b905d2f258f371730daeefMD5128590-142423-1-PB.htmltext/html4666https://repositorio.unal.edu.co/bitstream/unal/39797/2/28590-142423-1-PB.htmla4f2a73433578b2f74dccc1f5fcdb2eaMD52THUMBNAIL28590-102368-1-PB.pdf.jpg28590-102368-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4919https://repositorio.unal.edu.co/bitstream/unal/39797/3/28590-102368-1-PB.pdf.jpga55f134edf3454c09165a1c97be378b7MD53unal/39797oai:repositorio.unal.edu.co:unal/397972023-01-25 23:05:10.999Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Commensurator subgroups of surface groups
title Commensurator subgroups of surface groups
spellingShingle Commensurator subgroups of surface groups
Commensurator
Fundamental group
Surface
20F65
57M05
title_short Commensurator subgroups of surface groups
title_full Commensurator subgroups of surface groups
title_fullStr Commensurator subgroups of surface groups
title_full_unstemmed Commensurator subgroups of surface groups
title_sort Commensurator subgroups of surface groups
dc.creator.fl_str_mv Ocampo Uribe, Oscar Eduardo
dc.contributor.author.spa.fl_str_mv Ocampo Uribe, Oscar Eduardo
dc.subject.proposal.spa.fl_str_mv Commensurator
Fundamental group
Surface
20F65
57M05
topic Commensurator
Fundamental group
Surface
20F65
57M05
description Let $M$ be a surface, and let $H$ be a subgroup of $\pi_{1}M$. In this paper we study the commensurator subgroup $C_{\pi_{1}M}(H)$ of $\pi_{1}M$, and we extend a result of L. Paris and D. Rolfsen \cite{Paris-Rolfsen}, when $H$ is a geometric subgroup of $\pi_{1}M$. We also give an application of commensurator subgroups to group representation theory. Finally, by considering certain closed curves on the Klein bottle, we apply a classification of these curves to self-intersection Nielsen theory.
publishDate 2010
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dc.date.accessioned.spa.fl_str_mv 2019-06-28T04:28:07Z
dc.date.available.spa.fl_str_mv 2019-06-28T04:28:07Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/39797
http://bdigital.unal.edu.co/29894/
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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. 44, núm. 1 (2010); 1-13 0034-7426
dc.relation.references.spa.fl_str_mv Ocampo Uribe, Oscar Eduardo (2010) Commensurator subgroups of surface groups. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 1-13 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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Derechos reservados - Universidad Nacional de Colombia
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eu_rights_str_mv openAccess
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