On some groups from the formation of supersoluble finite groups

In this work, for a maximal subgroup of a group $G$, the concept of an $n$-modularly embedded subgroup ($n$ is some natural number) is introduced. A criterion is established under which every maximal subgroup in $G$ is $n$-modularly embedded, as well as necessary and sufficient conditions under which in every subgroup $A$ of $G$ any maximal subgroup is $n$-modularly embedded in $A$ for some natural number $n$, $n\leqslant k$ ($k$ — fixed natural number).