Automorphismes du groupe des automorphismes d'un groupe de Coxeter universel
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866914728403533824 |
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| author | Guerch, Yassine |
| author_facet | Guerch, Yassine |
| contents | Using the Guirardel-Levitt outer space of a free product, we prove that the outer automorphism group of the outer automorphism group of the universal Coxeter group of rank $n \geq 5$ is trivial, and that it is a cyclic group of order 2 if $n=4$. In addition we prove that the outer automorphism group of the automorphism group of the universal Coxeter group of rank $n \geq 4$ is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_02223 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Automorphismes du groupe des automorphismes d'un groupe de Coxeter universel Guerch, Yassine Group Theory Geometric Topology 20F55, 20E36, 20F28, 20E08 Using the Guirardel-Levitt outer space of a free product, we prove that the outer automorphism group of the outer automorphism group of the universal Coxeter group of rank $n \geq 5$ is trivial, and that it is a cyclic group of order 2 if $n=4$. In addition we prove that the outer automorphism group of the automorphism group of the universal Coxeter group of rank $n \geq 4$ is trivial. |
| title | Automorphismes du groupe des automorphismes d'un groupe de Coxeter universel |
| topic | Group Theory Geometric Topology 20F55, 20E36, 20F28, 20E08 |
| url | https://arxiv.org/abs/2002.02223 |