✦ LIBER ✦

A Howell design admitting A51

✍ Scribed by R.A. Bailey

Book ID: 104113749
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 380 KB
Volume: 167-168
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(96)00216-6

No coin nor oath required. For personal study only.

✦ Synopsis

There is a regular graph with 12 vertices and valency 6 which has three mutually orthogonal 1-factorizations. Any pair of these can be interpreted as a Howell design or semi-Latin square.

The automorphism group of the graph is A5 x Z2; it preserves the above three 1-factorizations as a set, interchanging two of them. This can be interpreted as a semi-Latin square isomorphic to its transpose with a unique Latin square orthogonal to it.

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