Factorizations of group determinant in group algebra for any abelian subgroup

2016/10/19 by Naoya Yamaguchi, Yamaguchi, Naoya · 1 citation
Mathematics · #22D20 #FOS: Mathematics #Primary 20C15 #Representation Theory (math.RT) #Secondary 15A15 #math.RT #msc:15A15 #msc:20C15 #msc:22D20

paper · pdf · doi:10.48550/arxiv.1610.06047

arxiv created 2016/11/03 · arxiv updated 2016/11/04

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.

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• Generalization of Frobenius' theorem for group determinants

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