Abstract: | Let
be a class of groups. Given a group G, assign to G some set of its subgroups =(G). We say that is a G-covering system of subgroups for
(or, in other words, an
-covering system of subgroups in G) if G
whenever either =Ø or Ø and every subgroup in belongs to
. We find the systems of subgroups in the class of finite soluble groups G which are simultaneously the G-covering systems of subgroups for the classes of p-supersoluble and p-nilpotent groups. |