Definition:Self-Normalizing Subgroup

Definition
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 $G$.

Also see

 * Normal Subgroup
 * Subnormal Subgroup
 * Abnormal Subgroup
 * Weakly Abnormal Subgroup
 * Contranormal Subgroup
 * Pronormal Subgroup
 * Weakly Pronormal Subgroup
 * Paranormal Subgroup
 * Polynormal Subgroup


 * Abnormal Subgroup is Self-Normalizing Subgroup
 * Weakly Abnormal Subgroup is Self-Normalizing Subgroup