The Origin of Representation-Determinant of Groups with Order Under 10
Abstract
We will give out the determinant of groups with order under 10 to check the interesting fact Dedekind found. We relate the fact to the irreducible representations of the group. Finally we explain the relation by Frobenius Theorem.
Keywords
Group Matrix; Group Determinant; Group Representation
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PDFReferences
Thomas W. Hungerfold, Algebra, Springer-Verlag, 2003.
William F, Joe H, Representation Theory: A First Course, Springer-Verlag,1991.
Formanek E, Sibley E. The determinant determines the group. Porc. Amer. Math. Soc. 1991.
DOI: http://dx.doi.org/10.18686/ahe.v6i10.5639
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