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The order of automorphisms of quasigroups

McKay, Brendan; Wanless, Ian; Zhang, Xiande


We prove quadratic upper bounds on the order of any autotopism of a quasigroup or Latin square, and hence also on the order of any automorphism of a Steiner triple system or 1-factorization of a complete graph. A corollary is that a permutation σ chosen

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Journal of Combinatorial Designs
DOI: 10.1002/jcd.21389


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