Naoya Yamaguchi - Kyushu University

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.

‎Dedekind&#۰۳۹;s theorem, group determinant, group algebra