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arXiv · 1810.11139

Pseudofinite primitive permutation groups acting on one-dimensional sets

Tingxiang Zou
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Abstract

Working in a theory with an integer-valued dimension on interpretable sets, we classify pseudofinite definably primitive permutation groups acting on one-dimensional sets which satisfy a version of chain condition on centralizers and on point-wise stabilizers. This generalises the classification of pseudofinite definably primitive permutation groups in supersimple theories of finite rank to supersimple theories of infinite rank.

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Tingxiang Zou. 2019-12-11. Pseudofinite primitive permutation groups acting on one-dimensional sets. https://doi.org/10.4064/fm799-12-2019

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