\begin{definition}[Definition:Self-Normalizing Subgroup]
Let $G$ be a group.
Let $H$ be a subgroup of $G$.
Then $H$ is a '''self-normalizing subgroup''' {{iff}}:
:$N_G \left({H}\right) = H$
where $N_G \left({H}\right)$ is the normalizer of $H$ in $G$.
\end{definition}