$3$-setwise intersecting families of the symmetric group

Angelot Behajaina, Roghayeh Maleki, Aina Toky Rasoamanana +1

Given two positive integers $n\ge 3$ and $t\le n$, the permutations $\sigma ,\pi \in \mathrm{Sym}(n)$ are $t$-setwise intersecting if they agree (setwise) on a $t$-subset of $\{1,2,…