Automorphisms of the Rado meet-tree
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866912616152039424 |
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| author | Kaplan, Itay Riahi, Binyamin Fanlo, Arturo Rodriguez |
| author_facet | Kaplan, Itay Riahi, Binyamin Fanlo, Arturo Rodriguez |
| contents | We prove that the group of automorphisms of the generic meet-tree expansion of an infinite non-unary free Fra\"ıssé limit over a finite relational language is simple. As a prototypical case, the group of automorphism of the Rado meet-tree (i.e. the Fra\"ıssé limit of finite graphs which are also meet-trees) is simple. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_07614 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Automorphisms of the Rado meet-tree Kaplan, Itay Riahi, Binyamin Fanlo, Arturo Rodriguez Logic Group Theory 03C98, 03C15, 20B27 We prove that the group of automorphisms of the generic meet-tree expansion of an infinite non-unary free Fra\"ıssé limit over a finite relational language is simple. As a prototypical case, the group of automorphism of the Rado meet-tree (i.e. the Fra\"ıssé limit of finite graphs which are also meet-trees) is simple. |
| title | Automorphisms of the Rado meet-tree |
| topic | Logic Group Theory 03C98, 03C15, 20B27 |
| url | https://arxiv.org/abs/2310.07614 |