Demonstrates conditions that make central Schur rings be coset Schur rings in finite groups, indicating a deeper algebraic structure.
The central Schur ring over a finite group is the orbit Schur ring associated with the conjugation action of a finite group on itself. Several equivalent conditions forcing the central Schur ring to be a coset Schur ring are proved. A general algebraic construction is given.
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Gang Chen (2025) studied this question.
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