Factorizations of group determinant in group algebra for any abelian subgroup

Naoya Yamaguchi

Published 2016-10-19Version 1

We give a further extension and generalization of Dedekind's theorem over those presented by Yamaguchi. In addition, we give two corollaries for irreducible representations of finite groups and a conjugation of the group algebra of the groups which have an index-two abelian subgroups.