A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
The groups G considered in this paper have the property that every normal nonsupersoluble subgroup of G has a finite, G-invariant, nonsupersoluble image. The structure of a certain radical, defined in terms of ascendant supersoluble subgroups, is determined. The main result is a supersolubility criterion for polycyclic groups.doi:10.1090/s0002-9939-1992-1069288-6 fatcat:hpszei3fybhptd5mnl2e6ntqn4