Sets of universal sequences for the symmetric group and analogous semigroups

James Hyde, Julius Jonušas, James D. Mitchell +1

A universal sequence for a group or semigroup $S$ is a sequence of words $w_1,w_2,\dots$ such that for any sequence $s_1,s_2,\dots \in S$, the equations $w_n=s_n$, $n\in \ma…