Title of article :
Intersections of prefrattini subgroups in finite soluble groups
Author/Authors :
Kamornikov ، Sergey International University MITSO , Gomel Branch
Abstract :
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.
Keywords :
finite soluble group , Frattini subgroup , prefrattini subgroup.
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory