Supersolvability of Finite Factorizable Groups with Cyclic Sylow Subgroups in the Factors

Let $p$ be a prime. Under certain additional conditions, we establish the $p$-supersolvability of a finite $p$-solvable group $G=AB$ with cyclic Sylow $p$-subgroups in $A$ and $B$. In particular, we prove that a finite group $G=AB$ is supersolvable provided that all Sylow subgroups in $A$ and $B$ are cyclic and either $G$ is 2-closed or $A$ and $B$ are maximal subgroups.