Of model completeness and algebraic groups
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866910852185063424 |
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| author | Hoffmann, Daniel Max Kowalski, Piotr Tran, Chieu-Minh Ye, Jinhe |
| author_facet | Hoffmann, Daniel Max Kowalski, Piotr Tran, Chieu-Minh Ye, Jinhe |
| contents | We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for example the group PSL_2(K)) are model complete as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08988 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Of model completeness and algebraic groups Hoffmann, Daniel Max Kowalski, Piotr Tran, Chieu-Minh Ye, Jinhe Logic Primary 03C10, Secondary 03C60, 14L35 We show that if G is a split semisimple algebraic group over a model complete field K, then the groups G(K) and G(K)' (the commutator group which is a ``Chevalley group'' as for example the group PSL_2(K)) are model complete as well. |
| title | Of model completeness and algebraic groups |
| topic | Logic Primary 03C10, Secondary 03C60, 14L35 |
| url | https://arxiv.org/abs/2312.08988 |