On products of generalized abnormal supersoluble subgroups of finite groups

The concept of an $X$-abnormal subgroup of finite groups is introduced and studied. Several attributes of the supersolubility of finite groups in terms of products of $X$-abnormal subgroups are established. In particular, the supersolubility of the group $G=AB=CD$ is proved, where $A$ and $B$ are subnormal, and $C$ and $D$ are $X$-abnormal supersoluble subgroups in $G$.