Abstract
There are considered direct generalizations of finite Shmidt's groups, i.e., finite nonnilpotent groups, whose all proper subgroups are nilpotent. As corollaries, there are proved assertions confirming the dependence of the structure of the entire group on the presence of some system of Shmidt's groups. In particular, it is proved that a finite group is dispersive, if all its Shmidt's subgroups are upper-solvable.
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