Construction of the Outer Automorphism of S6 via a Complex Hadamard Matrix

Neil I. Gillespie, Padraig Ó Catháin, Cheryl E. Praeger

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Abstract

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.

Original languageEnglish
Pages (from-to)453-458
Number of pages6
JournalMathematics in Computer Science
Volume12
Issue number4
DOIs
Publication statusPublished - 1 Dec 2018

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