First-order sentences in random groups I: universal sentences
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866909365864235008 |
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| author | Kharlampovich, O. Sklinos, R. |
| author_facet | Kharlampovich, O. Sklinos, R. |
| contents | We prove that a random group, in Gromov's density model with $d<1/16$, satisfies a universal sentence $σ$ (in the language of groups) if and only if $σ$ is true in a nonabelian free group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_05461 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | First-order sentences in random groups I: universal sentences Kharlampovich, O. Sklinos, R. Group Theory Logic 20F65, 03C60 We prove that a random group, in Gromov's density model with $d<1/16$, satisfies a universal sentence $σ$ (in the language of groups) if and only if $σ$ is true in a nonabelian free group. |
| title | First-order sentences in random groups I: universal sentences |
| topic | Group Theory Logic 20F65, 03C60 |
| url | https://arxiv.org/abs/2106.05461 |