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On Separable Schur Rings over Abelian Groups

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A finite group is said to be weakly separable if every algebraic isomorphism between two [Formula: see text]-ringsover this group is induced by a combinatorial isomorphism. We prove that every… Click to show full abstract

A finite group is said to be weakly separable if every algebraic isomorphism between two [Formula: see text]-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only belongs to one of several explicitly given families.

Keywords: separable schur; rings abelian; abelian groups; schur rings; group

Journal Title: Algebra Colloquium
Year Published: 2021

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