Construction of the outer automorphism of S6 via a complex Hadamard matrix
Combinatorics
2018-05-04 v1
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.
Cite
@article{arxiv.1805.01273,
title = {Construction of the outer automorphism of S6 via a complex Hadamard matrix},
author = {Neil Gillespie and Padraig Ó Catháin and Cheryl Praeger},
journal= {arXiv preprint arXiv:1805.01273},
year = {2018}
}
Comments
7 pages