On the baker's map and the simplicity of the higher dimensional Thompson groups nV
We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV .
| Author: | |
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| Format: | article |
| Publication Date: | 2010 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:57597 |
| Online Access: | https://ddd.uab.cat/record/57597 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_07 |
| Access Level: | Open access |
| Keyword: | Thompson group Baker's map Infinite simple group |
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On the baker's map and the simplicity of the higher dimensional Thompson groups nVBrin, Matthew G.Thompson groupBaker's mapInfinite simple groupWe show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV . 22010-01-0120102010-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/57597https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_07reponame: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:575972026-06-06T12:50:31Z |
| dc.title.none.fl_str_mv |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| title |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| spellingShingle |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV Brin, Matthew G. Thompson group Baker's map Infinite simple group |
| title_short |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| title_full |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| title_fullStr |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| title_full_unstemmed |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| title_sort |
On the baker's map and the simplicity of the higher dimensional Thompson groups nV |
| dc.creator.none.fl_str_mv |
Brin, Matthew G. |
| author |
Brin, Matthew G. |
| author_facet |
Brin, Matthew G. |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Thompson group Baker's map Infinite simple group |
| topic |
Thompson group Baker's map Infinite simple group |
| description |
We show that the baker's map is a finite product of transpositions (particularly pleasant involutions), and conclude from this that an existing very short proof of the simplicity of Thompson's group V applies with equal brevity to the higher dimensional Thompson groups nV . |
| publishDate |
2010 |
| dc.date.none.fl_str_mv |
2 2010-01-01 2010 2010-01-01 |
| 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/57597 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_07 |
| url |
https://ddd.uab.cat/record/57597 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_54210_07 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
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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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