The existence of pronormal $\pi$-Hall subgroups in $E_{\pi }$-groups

D. O. Revin, E. P. Vdovin

A subgroup $H$ of a group $G$ is called {\it pronormal}, if for every $g\in G$ subgroups $H$ and $H^g$ are conjugate in $⟨H,H^g⟩$. It is proven that if a finite group…