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  1. Omega-Categorical Pseudofinite Groups.Dugald Macpherson & Katrin Tent - forthcoming - Journal of Symbolic Logic:1-14.
    We explore the interplay between $\omega $ -categoricity and pseudofiniteness for groups, and we conjecture that $\omega $ -categorical pseudofinite groups are finite-by-abelian-by-finite. We show that the conjecture reduces to nilpotent p-groups of class 2, and give a proof that several of the known examples of $\omega $ -categorical p-groups satisfy the conjecture. In particular, we show by a direct counting argument that for any odd prime p the ( $\omega $ -categorical) model companion of the theory of nilpotent class (...)
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