Pseudofinite primitive permutation groups acting on one-dimensional sets
Logic
2020-07-21 v2 Group Theory
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.
Cite
@article{arxiv.1810.11139,
title = {Pseudofinite primitive permutation groups acting on one-dimensional sets},
author = {Tingxiang Zou},
journal= {arXiv preprint arXiv:1810.11139},
year = {2020}
}