Groups elementarily equivalent to the classical matrix groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929354987012096 |
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| author | Myasnikov, Alexei G. Sohrabi, Mahmood |
| author_facet | Myasnikov, Alexei G. Sohrabi, Mahmood |
| contents | In this paper we describe all groups that are first-order (elementarily) equivalent to the classical matrix groups such as $GL_n(F), SL_n(F)$ and $T_n(F)$ over a field $F$ provided $n \geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14476 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Groups elementarily equivalent to the classical matrix groups Myasnikov, Alexei G. Sohrabi, Mahmood Group Theory Logic 03C60, 20F16 In this paper we describe all groups that are first-order (elementarily) equivalent to the classical matrix groups such as $GL_n(F), SL_n(F)$ and $T_n(F)$ over a field $F$ provided $n \geq 3$. |
| title | Groups elementarily equivalent to the classical matrix groups |
| topic | Group Theory Logic 03C60, 20F16 |
| url | https://arxiv.org/abs/2405.14476 |