Group Partitions via Commutativity and Related Topics

Ali Mahmoudifar, Ali Reza Moghaddamfar, Faez Salehzadeh

Let $G$ be a nonabelian group, $A\subseteq G$ an abelian subgroup and $n⩾2$ an integer. We say that $G$ has an $n$-abelian partition with respect to $A$, if there exists a…