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

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

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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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.
Original languageEnglish
Pages (from-to)453-458
Number of pages6
JournalMathematics in Computer Science
Issue number4
Early online date26 Sep 2018
Publication statusPublished - Dec 2018


  • Complex hadamard matrix
  • Outer automorphism
  • Symmetric group

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