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| Home > Articles > Published articles > Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| Home > Articles > Published articles > Thompson's group is the orientation-preserving automorphism group of a cellular complex |
| Date: | 2012 |
| Abstract: | 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. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Subject: | Mapping class groups ; Ip complex ; Infinite type surfaces ; Group actions ; Thompson's groups |
| Published in: | Publicacions matemàtiques, Vol. 56, Núm. 2 (2012) , p. 0305-326, ISSN 2014-4350 |
