Intersections of prefrattini subgroups in finite soluble groups

نویسندگان

1 Gomel Branch of International University MITSO

doi
10.22108/ijgt.2017.11163
چکیده

‎Let $H$ be a prefrattini subgroup of a soluble finite group $G$‎. ‎In the‎ ‎paper it is proved that there exist elements $x,y \in G$ such that the equality‎ ‎$H \cap H^x \cap H^y = \Phi (G)$ holds‎.