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

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

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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Veröffentlicht in:Mathematics in computer science 2018-12, Vol.12 (4), p.453-458
Hauptverfasser: Gillespie, Neil I., Ó Catháin, Padraig, Praeger, Cheryl E.
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1661-8270
1661-8289
DOI:10.1007/s11786-018-0382-0