Intersections of prefrattini subgroups in finite soluble groups

‎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.

کلیدواژه ها:

‎finite soluble group‎ ، ‎Frattini subgroup‎ ، ‎prefrattini subgroup