Abstract
A Schur ring [Formula: see text] is called Dedekind if the formal sum of every [Formula: see text]-subgroup is in the center of [Formula: see text]. In this paper, we find all finite groups [Formula: see text] such that every proper Schur ring over [Formula: see text] is Dedekind. As a corollary of our main theorem, we find all finite groups [Formula: see text] such that every proper Schur ring over [Formula: see text] is commutative.
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