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Transversals of additive Latin squares

✍ Scribed by Samit Dasgupta; Gyula Károlyi; Oriol Serra; Balázs Szegedy

Publisher
The Hebrew University Magnes Press
Year
2001
Tongue
English
Weight
461 KB
Volume
126
Category
Article
ISSN
0021-2172

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We define a near-automorphism a of a Latin square L to be an isomorphism such that L and aL differ only within a 2×2 subsquare. We prove that for all n ≥ 2 except n ∈{3, 4}, there exists a Latin square which exhibits a near-automorphism. We also show that if a has the cycle structure (2, n-2), then