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An extension and a generalization of Dedekind's theorem

Authors :
Yamaguchi, Naoya
Publication Year :
2016

Abstract

For any given finite abelian group, we give factorizations of the group determinant in the group algebra of any subgroup. The factorizations are an extension of Dedekind's theorem. The extension leads to a generalization of Dedekind's theorem and a simple expression for inverse elements in the group algebra.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1601.03170
Document Type :
Working Paper
Full Text :
https://doi.org/10.22108/IJGT.2017.21238