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The subgroups $A$ and $B$ of a group~$G$ are called {\rm msp}-permutable, ifthe following statements hold: $AB$~is a subgroup of~$G$; the subgroups $P$ and$Q$ are mutually permutable, where $P$~is an arbitrary Sylow $p$-subgroupof~$A$ and $Q$~is an arbitrary Sylow $q$-subgroup of~$B$, ${p\neq q}$. In thepresent paper, we investigate groups that factorized by two {\rmmsp}-permutable subgroups. In particular, the supersolubility of the product oftwo supersoluble {\rm msp}-permutable subgroups is proved.

On factorized groups with permutable subgroups of factors