Primitive pseudo-finite permutation groups of finite SU-rank

Ulla Karhumäki; Nicholas Ramsey

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arXiv · 2504.08501

Primitive pseudo-finite permutation groups of finite SU-rank

Ulla Karhumäki·Nicholas Ramsey

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Abstract

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.

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BibTeX RIS

Ulla Karhumäki, Nicholas Ramsey. 2025-04-11. Primitive pseudo-finite permutation groups of finite SU-rank. https://arxiv.org/abs/2504.08501

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