On coset central Schur rings

Abstract

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.

Keywords

• Schur rings
• central Schur rings
• table algebras
• wreath products

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