An extension and a generalization of Dedekind's theorem

Document Type : Research Paper

Author

Kyushu University

Abstract

For any given finite abelian group‎, ‎we give factorizations of the group determinant in the group algebra of any subgroups‎. ‎The factorizations is an extension of Dedekind's theorem‎. ‎The extension leads to a generalization of Dedekind's theorem‎.

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