Factorization number and subgroup commutativity degree via spectral invariants

Seid Kassaw Muhie, Daniele Ettore Otera, Francesco G. Russo

The factorization number $F_2(G)$ of a finite group $G$ is the number of all possible factorizations of $G=HK$ as product of its subgroups $H$ and $K$, while the subgroup commutati…