Groups that have a Partition by Commuting Subsets

Tuval Foguel, Josh Hiller, Mark L. Lewis +1

Let $G$ be a nonabelian group. We say that $G$ has an abelian partition, if there exists a partition of $G$ into commuting subsets $A_1,A_2,\dots ,A_n$ of $G$, such that $|A_i|\…