An extension and a generalization of Dedekind's theorem

For any given finite abelian group‎, ‎we give factorizations of the group determinant in the group algebra of any subgroups‎. ‎The factorizations is an extension of Dedekind's theorem‎. ‎The extension leads to a generalization of Dedekind's theorem‎.

Bibliographic Details
Main Author: Naoya Yamaguchi
Format: Article
Language:English
Published: University of Isfahan 2017-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_21238_0fd33ba67df03d3f2b788744321dba1e.pdf