On Autonilpotent and Autosoluble Groups

In this paper, we investigate the properties of lower autonilpotent groups and we determine the structure of autonilpotent groups. We also determine necessary condition for a group to be autosoluble group.本文中，我们探究了下自幂零群（lower autonilpotent groups）的性质，并确定了自幂零群（autonilpotent groups）的结构。此外，我们还给出了群成为自可解群（autosoluble group）的必要条件。