A permutation group acting transitively on certain collections of models
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913740599853056 |
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| author | Corson, Samuel M. Shelah, Saharon |
| author_facet | Corson, Samuel M. Shelah, Saharon |
| contents | It is shown, from $σ$-centered Martin's Axiom, that there exists a proper dense subgroup of the symmetric group on a countably infinite set whose natural action on sufficiently flexible relational structures is transitive. This allows us to give consistent positive answers to some questions of Peter M. Neumann from the 1980s. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A permutation group acting transitively on certain collections of models Corson, Samuel M. Shelah, Saharon Group Theory Logic 20A15, 03E17, 03E50 It is shown, from $σ$-centered Martin's Axiom, that there exists a proper dense subgroup of the symmetric group on a countably infinite set whose natural action on sufficiently flexible relational structures is transitive. This allows us to give consistent positive answers to some questions of Peter M. Neumann from the 1980s. |
| title | A permutation group acting transitively on certain collections of models |
| topic | Group Theory Logic 20A15, 03E17, 03E50 |
| url | https://arxiv.org/abs/2503.12997 |