Definition:Weakly Abnormal Subgroup/Definition 3
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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 contranormal subgroup of $G$
where $H \le K$ denotes that $H$ is a subgroup of $K$.