Mixed identities for oligomorphic automorphism groups
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866912542310268928 |
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| author | Bodirsky, Manuel Schneider, Jakob Thom, Andreas |
| author_facet | Bodirsky, Manuel Schneider, Jakob Thom, Andreas |
| contents | We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09205 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mixed identities for oligomorphic automorphism groups Bodirsky, Manuel Schneider, Jakob Thom, Andreas Group Theory Logic We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity. |
| title | Mixed identities for oligomorphic automorphism groups |
| topic | Group Theory Logic |
| url | https://arxiv.org/abs/2401.09205 |