  We discuss the Bohr compactification of a pseudofinite group, motivated by a
question of Boris Zilber. Basically referring to results in the literature we
point out (i) the Bohr compactification of an ultraproduct of finite simple
groups is trivial, and (ii) the "definable" Bohr compactification of any
pseudofinite group G, relative to a nonstandard model of set theory in which it
is definable, is commutative-by-profinite.
