Definition:Weakly Abnormal Subgroup/Definition 2

Definition

Let $G$ be a group.

Let $H$ be a subgroup of $G$.

$H$ is weakly abnormal in $G$ if and only if:

if $H \le K \le G$, then $K$ is a self-normalizing subgroup of $G$

where $H \le K$ denotes that $H$ is a subgroup of $K$.

Also see

• Equivalence of Definitions of Weakly Abnormal Subgroup