CANT 2020: Semi-magic matrices for dihedral groups

Research talk for the Eighteeenth Annual Workshop on Combinatorial and Additive Number Theory (Zoom conference hosted by the CUNY Graduate Center) The difficulty of this talk is pitched to advanced undergraduate and graduate students. Abstract: If the finite group G acts on a finite set X, then G may be rep- resented by a subgroup of permutation matrices, which in turn generate an algebra of semi-magic matrices. Recall that a semi-magic matrix is a square matrix with complex coefficients whose rows and columns have a common line sum. In the case of dihedral groups, we apply character theory to re- cover the known counting formula for semi-magic matrices with fixed line sum and coefficients in the natural numbers. Pdf slides for hour long version of talk: https://mathdoctorbob.org/20200313-GC.pdf

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