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An extension and a generalization of Dedekind's theorem | ||
| International Journal of Group Theory | ||
| مقاله 2، دوره 6، شماره 3، آذر 2017، صفحه 5-11 اصل مقاله (182.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2017.21238 | ||
| نویسنده | ||
| Naoya Yamaguchi* | ||
| Kyushu University | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Dedekind's theorem؛ group determinant؛ group algebra | ||
| مراجع | ||
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[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. | ||
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