Intersections of prefrattini subgroups in finite soluble groups

Document Type: Research Paper

Author

Gomel Branch of International University MITSO

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.

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