2 citations · 6 across the 12 of their papers we have counts for
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Pseudofinite primitive permutation groups acting on one-dimensional sets
Tingxiang Zou
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 sat…
Schlichting's Theorem for Approximate Subgroups
Tingxiang Zou
We prove Schlichting's theorem for approximate subgroups: if is a uniform family of commensurable approximate subgroups in some ambient group, then there exists an in…
Pseudofinite difference fields and counting dimensions
Tingxiang Zou
We study a family of ultraproducts of finite fields with the Frobenius automorphism in this paper. Their theories have the strict order property and TP2. But the coarse pseudofinit…
Pseudofinite H-structures and groups definable in supersimple H-structures
Tingxiang Zou
In this paper we explore some properties of H-structures. We describe a construction of H-structures based on one-dimensional asymptotic classes which preserves pseudo-finiteness.…