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Remarks on compactifications of pseudofinite groups

Remarks on compactifications of pseudofinite groups

We discuss the Bohr compactification of a pseudofinite group, motivated by a question of Boris Zilber. We point out that (i) the Bohr compactification of an ultraproduct of finite simple groups is trivial, and (ii) the ā€œdefinableā€ Bohr compactification of