Thompson's group is the orientation-preserving automorphism group of a cellular complex
We consider a planar surface ∑ of in nite type which has Thompson's group T as asymptotic mapping class group. We construct the asymptotic pants complex C of ∑ and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2012 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:91307 |
| Acesso em linha: | https://ddd.uab.cat/record/91307 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_56212_03 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Mapping class groups Ip complex Infinite type surfaces Group actions Thompson's groups |
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Thompson's group is the orientation-preserving automorphism group of a cellular complexFossas, A.Nguyen, M.Mapping class groupsIp complexInfinite type surfacesGroup actionsThompson's groupsWe consider a planar surface ∑ of in nite type which has Thompson's group T as asymptotic mapping class group. We construct the asymptotic pants complex C of ∑ and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z=2Z. 22012-01-0120122012-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/91307https://dx.doi.org/urn:doi:10.5565/PUBLMAT_56212_03reponame: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:913072026-06-06T12:50:31Z |
| dc.title.none.fl_str_mv |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| title |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| spellingShingle |
Thompson's group is the orientation-preserving automorphism group of a cellular complex Fossas, A. Mapping class groups Ip complex Infinite type surfaces Group actions Thompson's groups |
| title_short |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| title_full |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| title_fullStr |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| title_full_unstemmed |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| title_sort |
Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| dc.creator.none.fl_str_mv |
Fossas, A. Nguyen, M. |
| author |
Fossas, A. |
| author_facet |
Fossas, A. Nguyen, M. |
| author_role |
author |
| author2 |
Nguyen, M. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Mapping class groups Ip complex Infinite type surfaces Group actions Thompson's groups |
| topic |
Mapping class groups Ip complex Infinite type surfaces Group actions Thompson's groups |
| description |
We consider a planar surface ∑ of in nite type which has Thompson's group T as asymptotic mapping class group. We construct the asymptotic pants complex C of ∑ and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z=2Z. |
| publishDate |
2012 |
| dc.date.none.fl_str_mv |
2 2012-01-01 2012 2012-01-01 |
| dc.type.none.fl_str_mv |
Article http://purl.org/coar/resource_type/c_6501 VoR http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.openaire.fl_str_mv |
info:eu-repo/semantics/article |
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article |
| dc.identifier.none.fl_str_mv |
https://ddd.uab.cat/record/91307 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_56212_03 |
| url |
https://ddd.uab.cat/record/91307 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_56212_03 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 https://rightsstatements.org/vocab/InC/1.0/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 https://rightsstatements.org/vocab/InC/1.0/ |
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openAccess |
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application/pdf |
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reponame:Dipòsit Digital de Documents de la UAB instname:Universitat Autònoma de Barcelona |
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Universitat Autònoma de Barcelona |
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Dipòsit Digital de Documents de la UAB |
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Dipòsit Digital de Documents de la UAB |
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1869407935243747328 |
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15,301603 |