Finite groups with $OS$-propermutable subgroups

A subgroup $A$ of a group $G$ is called $OS$-propermutable in $G$ if there is a subgroup $B$ such that $G = N_G(A)B$, $AB$ is a subgroup of $G$ and the subgroup $A$ permutes with all Schmidt subgroups of $B$. In this situation, the subgroup $B$ is called $OS$-prosupplement to $A$ in $G$.
In this paper, we proved the $p$-solubility of a finite group $G$ such that a Sylow $p$-subgroup of $G$ is $OS$-propermutable in $G$, where $p>5$.