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OMEGA-CATEGORICAL PSEUDOFINITE GROUPS

OMEGA-CATEGORICAL PSEUDOFINITE GROUPS

Abstract 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 $ …