Factorizations of group determinant in group algebra for any abelian subgroup

Abstract

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

References in corpus (1)

• Factorization of group determinant in some group algebras