Generic groups and the weak amalgamation property
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917116591996928 |
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| author | Ivanov, Aleksander Majcher, Krzysztof |
| author_facet | Ivanov, Aleksander Majcher, Krzysztof |
| contents | We consider the logic space of countable (enumerated) groups and show that closed subspaces corresponding to some standard classes of groups have (do not have) generic groups. We also discuss the cases of semigroups and associative rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02143 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generic groups and the weak amalgamation property Ivanov, Aleksander Majcher, Krzysztof Logic Group Theory 03C60, 03C15, 03E15, 20F10, 20F05, 20F18, 20F50, 20F60, 03C25 We consider the logic space of countable (enumerated) groups and show that closed subspaces corresponding to some standard classes of groups have (do not have) generic groups. We also discuss the cases of semigroups and associative rings. |
| title | Generic groups and the weak amalgamation property |
| topic | Logic Group Theory 03C60, 03C15, 03E15, 20F10, 20F05, 20F18, 20F50, 20F60, 03C25 |
| url | https://arxiv.org/abs/2402.02143 |