Primitive pseudo-finite permutation groups of finite SU-rank
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908669188243456 |
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| author | Karhumäki, Ulla Ramsey, Nicholas |
| author_facet | Karhumäki, Ulla Ramsey, Nicholas |
| contents | We study definably primitive pseudo-finite permutation groups of finite $SU$-rank. We show that if $(G,X)$ is such a permutation group, then the rank of $G$ can be bounded in terms of the rank of $X$, providing an analogue of a theorem of Borovik and Cherlin in the setting of definably primitive permutation groups of finite Morley rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Primitive pseudo-finite permutation groups of finite SU-rank Karhumäki, Ulla Ramsey, Nicholas Logic Group Theory We study definably primitive pseudo-finite permutation groups of finite $SU$-rank. We show that if $(G,X)$ is such a permutation group, then the rank of $G$ can be bounded in terms of the rank of $X$, providing an analogue of a theorem of Borovik and Cherlin in the setting of definably primitive permutation groups of finite Morley rank. |
| title | Primitive pseudo-finite permutation groups of finite SU-rank |
| topic | Logic Group Theory |
| url | https://arxiv.org/abs/2504.08501 |