4 problems

Let $p$ and $q$ be Cayley permutations of the same length, and let $\max(p)$ denote the largest letter occurring in $p$. Let $\operatorname{Cay}_n(p)$ be the set of Cayley permutat…

Let $p$ and $q$ be Cayley permutations of the same length, and let $\max(p)$ denote the largest letter occurring in $p$. Write $p\sim_c q$ for Cayley-equivalence. The Cayley-equiva…

Let $p$ and $q$ be Cayley permutations of the same length. Write $p\sim_c q$ for Cayley-equivalence and $p\sim_{cm}q$ for Cayley-equivalence with respect to content multiplicities.…

Let $\operatorname{Prim}'$ and $\operatorname{Cay}$ be the species of primitive objects and Cayley permutations, respectively. For a Cayley permutation $w=w_1\cdots w_n$, let … be…