An extension and a generalization of Dedekind's theorem

Document Type : Research Paper

Author

Kyushu University

Abstract

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.

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References

[1] K. Conrad, Characters of nite ab elian groups, http://www.math.uconn.edu/~kconrad/blurbs/grouptheory/charthy.pdf.
[2] K. Conrad, The origin of representation theory, http://www.math.uconn.edu/~kconrad/articles/groupdet.pdf.
[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.
International Journal of Group Theory
Volume 6, Issue 3 - Serial Number 3
September 2017
Pages 5-11

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History

  • Receive Date: 12 July 2016
  • Revise Date: 06 September 2016
  • Accept Date: 14 September 2016
  • Published Online: 01 September 2017

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