This article is cited in 2 papers

Theoretical Foundations of Applied Discrete Mathematics

Almost all Latin squares have trivial autoparatopy group

A. V. Cheremushkin

Institute of Cryptography, Communications and Informatics, Moscow, Russia

Abstract: The main result is: almost all Latin squares of order $n$ have trivial autoparatopy group as $n\to\infty$. As a consequence we obtain the asymptotic number of main classes of Latin squares of order $n$:
$$ \frac{L_n}{6n!^3}(1+o(1)), $$
where $L_n$ – number of Latin squares of order $n$.

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