First-order sentences in random groups III
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913960494628864 |
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| author | Kharlampovich, Olga Miasnikov, Alexei Sklinos, Rizos |
| author_facet | Kharlampovich, Olga Miasnikov, Alexei Sklinos, Rizos |
| contents | We show that a first-order sentence is almost surely true in a random group of density d<1/2 if and only if it is true in a non-abelian free group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19740 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First-order sentences in random groups III Kharlampovich, Olga Miasnikov, Alexei Sklinos, Rizos Group Theory 20P05 We show that a first-order sentence is almost surely true in a random group of density d<1/2 if and only if it is true in a non-abelian free group. |
| title | First-order sentences in random groups III |
| topic | Group Theory 20P05 |
| url | https://arxiv.org/abs/2507.19740 |