On the Pronormality of Subgroups of Odd Index in Finite Simple Groups

Anatoly S. Kondrat'ev, Natalia V. Maslova, Danila O. Revin

A subgroup $H$ of a group $G$ is said to be {pronormal} in $G$ if $H$ and $H^g$ are conjugate in $⟨H,H^g⟩$ for every $g\in G$. Some problems in finite group theory,…