English

Generalization of Frobenius' theorem for group determinants

Representation Theory 2020-10-29 v4

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.

Keywords

Cite

@article{arxiv.1610.06489,
  title  = {Generalization of Frobenius' theorem for group determinants},
  author = {Naoya Yamaguchi},
  journal= {arXiv preprint arXiv:1610.06489},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1610.06047

R2 v1 2026-06-22T16:26:54.079Z