Category:Self-Normalizing Subgroups

This category contains results about Self-Normalizing Subgroups.

Let $G$ be a group.

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

Then $H$ is a self-normalizing subgroup if and only if:

$N_G \left({H}\right) = H$

where $N_G \left({H}\right)$ is the normalizer of $H$ in $G$.