Abnormal Subgroup is Self-Normalizing Subgroup

Theorem
Let $G$ be a group.

Let $H$ be an abnormal subgroup of $G$.

Then $H$ is a self-normalizing subgroup of $G$.

Proof
We have:
 * Abnormal Subgroup is Weakly Abnormal Subgroup
 * Weakly Abnormal Subgroup is Self-Normalizing Subgroup

Hence the result.