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:

$\map {N_G} H = H$

where $\map {N_G} H$ is the normalizer of $H$ in $G$.