On the number of autotopies of an $n$-ary qusigroup of order $4$

Denis S. Krotov, Evgeny V. Gorkunov, Vladimir N. Potapov

An algebraic system from a finite set $\Sigma$ of cardinality $k$ and an $n$-ary operation $f$ invertible in each argument is called an $n$-ary quasigroup of order $k$. An autotopy of a…