Generalization of Frobenius' theorem for group determinants

Abstract

Frobenius built a representation theory of finite groups in the process of obtaining the irreducible factorization of the group determinant. Here, we give a generalization of Frobenius' theorem. The generalization leads to a corollary on irreducible representations of finite groups.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1610.06047

References in corpus (2)

• Factorization of group determinant in some group algebras
• Factorizations of group determinant in group algebra for any abelian subgroup