Hyperbolic groups with few linear representations

Descripción del Articulo

In this paper we are going to develop an unpublished argument of William Thurston that shows the existence of hyperbolic groups with no non-trivial representations to linear groups over any ring, for a given dimension. His approach studies the space of representations of any non-elementary hyperboli...

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Detalles Bibliográficos
Autor: Vargas Pallete, Franco
Formato: artículo
Fecha de Publicación:2022
Institución:Pontificia Universidad Católica del Perú
Repositorio:PUCP-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.pucp.edu.pe:20.500.14657/193857
Enlace del recurso:https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25730/24275
https://repositorio.pucp.edu.pe/index/handle/123456789/193857
Nivel de acceso:acceso abierto
Materia:Hyperbolic groups
Linear representation
Grupos hiperbólicos
Representaciones lineales
https://purl.org/pe-repo/ocde/ford#1.01.00
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spelling Vargas Pallete, Franco2022-10-26T16:15:08Z2023-06-01T15:09:47Z2022-10-26T16:15:08Z2023-06-01T15:09:47Z2022-08-31https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25730/24275https://repositorio.pucp.edu.pe/index/handle/123456789/193857In this paper we are going to develop an unpublished argument of William Thurston that shows the existence of hyperbolic groups with no non-trivial representations to linear groups over any ring, for a given dimension. His approach studies the space of representations of any non-elementary hyperbolic group G to conclude that there is a hyperbolic quotient with such property.En este artículo, desarrollaremos un argumento inédito de William Thurston que muestra la existencia de grupos hiperbólicos sin representaciones no triviales de grupos lineales sobre cualquier anillo, para una dimensión dada. Su enfoque estudia el espacio de representaciones de cualquier grupo hiperbólico no elemental G para concluir que existe un cociente hiperbólico con tales propiedades.application/pdfengPontificia Universidad Católica del PerúPEurn:issn:2305-2430urn:issn:1012-3938info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0Pro Mathematica; Vol. 32 Núm. 63 (2022)reponame:PUCP-Institucionalinstname:Pontificia Universidad Católica del Perúinstacron:PUCPHyperbolic groupsLinear representationGrupos hiperbólicosRepresentaciones linealeshttps://purl.org/pe-repo/ocde/ford#1.01.00Hyperbolic groups with few linear representationsinfo:eu-repo/semantics/articleArtículo20.500.14657/193857oai:repositorio.pucp.edu.pe:20.500.14657/1938572024-07-22 09:38:40.703http://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessmetadata.onlyhttps://repositorio.pucp.edu.peRepositorio Institucional de la PUCPrepositorio@pucp.pe
dc.title.en_US.fl_str_mv Hyperbolic groups with few linear representations
title Hyperbolic groups with few linear representations
spellingShingle Hyperbolic groups with few linear representations
Vargas Pallete, Franco
Hyperbolic groups
Linear representation
Grupos hiperbólicos
Representaciones lineales
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Hyperbolic groups with few linear representations
title_full Hyperbolic groups with few linear representations
title_fullStr Hyperbolic groups with few linear representations
title_full_unstemmed Hyperbolic groups with few linear representations
title_sort Hyperbolic groups with few linear representations
author Vargas Pallete, Franco
author_facet Vargas Pallete, Franco
author_role author
dc.contributor.author.fl_str_mv Vargas Pallete, Franco
dc.subject.en_US.fl_str_mv Hyperbolic groups
Linear representation
topic Hyperbolic groups
Linear representation
Grupos hiperbólicos
Representaciones lineales
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.es_ES.fl_str_mv Grupos hiperbólicos
Representaciones lineales
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description In this paper we are going to develop an unpublished argument of William Thurston that shows the existence of hyperbolic groups with no non-trivial representations to linear groups over any ring, for a given dimension. His approach studies the space of representations of any non-elementary hyperbolic group G to conclude that there is a hyperbolic quotient with such property.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-10-26T16:15:08Z
2023-06-01T15:09:47Z
dc.date.available.none.fl_str_mv 2022-10-26T16:15:08Z
2023-06-01T15:09:47Z
dc.date.issued.fl_str_mv 2022-08-31
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.other.none.fl_str_mv Artículo
format article
dc.identifier.uri.none.fl_str_mv https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25730/24275
https://repositorio.pucp.edu.pe/index/handle/123456789/193857
url https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25730/24275
https://repositorio.pucp.edu.pe/index/handle/123456789/193857
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv urn:issn:2305-2430
urn:issn:1012-3938
dc.rights.es_ES.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0
dc.format.none.fl_str_mv application/pdf
dc.publisher.es_ES.fl_str_mv Pontificia Universidad Católica del Perú
dc.publisher.country.none.fl_str_mv PE
dc.source.es_ES.fl_str_mv Pro Mathematica; Vol. 32 Núm. 63 (2022)
dc.source.none.fl_str_mv reponame:PUCP-Institucional
instname:Pontificia Universidad Católica del Perú
instacron:PUCP
instname_str Pontificia Universidad Católica del Perú
instacron_str PUCP
institution PUCP
reponame_str PUCP-Institucional
collection PUCP-Institucional
repository.name.fl_str_mv Repositorio Institucional de la PUCP
repository.mail.fl_str_mv repositorio@pucp.pe
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score 13.949927
Hyperbolic groups with few linear representations
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