Factorizations of group determinant in group algebra for any abelian subgroup
Representation Theory
2016-11-04 v3
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.
Cite
@article{arxiv.1610.06047,
title = {Factorizations of group determinant in group algebra for any abelian subgroup},
author = {Naoya Yamaguchi},
journal= {arXiv preprint arXiv:1610.06047},
year = {2016}
}