An extension and a generalization of Dedekind's theorem

Document Type : Research Paper


Kyushu University


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.


Main Subjects

[1] K. Conrad, Characters of nite ab elian groups,
[2] K. Conrad, The origin of representation theory,
[3] I. M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, London, 1976.
[4] B. L. van der Waerden, A History of Algebra, From al-Khwarizmi to Emmy No ether, Springer-Verlag, Berlin, 1985.