On the supersoluble hypercentre of a finite group
We give some sufficient conditions for a normal p-subgroup P of a finite group G to have every G-chief factor below it cyclic. The S-permutability of some p-subgroups of O^p (G) plays an important role. Some known results can be reproved and some others appear as corollaries of our main theorems.
Miao, Liyun Ballester-Bolinches, Adolfo Esteban Romero, Ramón Li, Yangming 2017 On the supersoluble hypercentre of a finite group Monatshefte für Mathematik 184 4 641 648