Hultman Numbers and Generalized Commuting Probability in Finite Groups

Yonah Cherniavsky, Avraham Goldstein, Vadim E. Levit +1

Let $G$ be a finite group and $\pi$ be a permutation from $S_n$. We investigate the distribution of the probabilities of the equality \[ a_{1}a_{2}\cdots a_{n-1}a_{n}=a_{π_{1}}a_{π…