On the model theory of the Free Factor Complex of rank 2
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910057553199104 |
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| author | Khangheshlaghi, Zahra Mohammadi Tent, Katrin |
| author_facet | Khangheshlaghi, Zahra Mohammadi Tent, Katrin |
| contents | We begin the investigation of the free factor complex of a free group of finite rank. For the case of rank 2 we axiomatize its theory and show that it is $ω$-stable with prime model $AF_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17084 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the model theory of the Free Factor Complex of rank 2 Khangheshlaghi, Zahra Mohammadi Tent, Katrin Group Theory Logic 03C65, 03c98, 20F65, 20E05 We begin the investigation of the free factor complex of a free group of finite rank. For the case of rank 2 we axiomatize its theory and show that it is $ω$-stable with prime model $AF_2$. |
| title | On the model theory of the Free Factor Complex of rank 2 |
| topic | Group Theory Logic 03C65, 03c98, 20F65, 20E05 |
| url | https://arxiv.org/abs/2603.17084 |