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arxiv: 1805.01273 · v1 · pith:EJ6S4A7Hnew · submitted 2018-05-03 · 🧮 math.CO

Construction of the outer automorphism of S6 via a complex Hadamard matrix

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keywords constructionautomorphismcomplexhadamardmatrixouteralgebracontaining
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We give a new construction of the outer automorphism of the symmetric group on six points. Our construction features a complex Hadamard matrix of order six containing third roots of unity and the algebra of split quaternions over the real numbers.

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