Simultaneous Conjugacy Classes of Finite $p$-groups of rank $\le 5$

Dilpreet Kaur, Sunil Kumar Prajapati, Amritanshu Prasad

For a finite group $G$, we consider the problem of counting simultaneous conjugacy classes of $n$-tuples and simultaneous conjugacy classes of commuting $n$-tuples in $G$. Let $α_{…