Weakly subnormal subgroups and variations of the Baer-Suzuki theorem

Robert M. Guralnick, Hung P. Tong-Viet, Gareth Tracey

A subgroup $R$ of a finite group $G$ is weakly subnormal in $G$ if $R$ is not subnormal in $G$ but it is subnormal in every proper overgroup of $R$ in $G$. In this paper, we first…