The simultaneous conjugacy problem in the symmetric group

Andrej Brodnik, Aleksander Malnič, Rok Požar

The transitive simultaneous conjugacy problem asks whether there exists a permutation $\tau \in S_n$ such that $b_j={\tau }^{-1}{a}_j\tau$ holds for all $j=1,2,\dots ,d$, where $a_1, a_2,…