The order of automorphisms of quasigroups

McKay, Brendan; Wanless, Ian; Zhang, Xiande

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The order of automorphisms of quasigroups

Date

2014

Authors

McKay, Brendan

Wanless, Ian

Zhang, Xiande

Publisher

John Wiley & Sons Inc

Abstract

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