$2$-Closure of $\frac{3}{2}$-transitive group in polynomial time

Andrey V. Vasil'ev, Dmitry Churikov

Let $G$ be a permutation group on a finite set $\Omega$. The $k$-closure $G^{(k)}$ of the group $G$ is the largest subgroup of $\mathrm{Sym}(\Omega )$ having the same orbits as $G$ on t…