An extension and a generalization of Dedekind's theorem

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.

Keywords:

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