On the Structure of Periodic Groups Saturated by Semidihedral Groups

Let $\mathfrak R$ be a set of finite groups. A group $G$ is said to be saturated by $\mathfrak R$, if every finite subgroup of $G$ is contained in a subgroup isomorphic to a group in $\mathfrak R$. We prove that a periodic group saturated a set containing semidihedral groups is a locally finite group.