Normalizer subgroup

Symbol-free definition
A subgroup of a group is termed a normalizer subgroup if it occurs as the normalizer of some subset (or equivalently, of some subgroup).

Definition with symbols
A subgroup $$K$$ of a group $$G$$ is termed a normalizer subgroup if there is a subgroup $$H$$ of $$G$$ such that $$K = N_G(H)$$.

Stronger properties

 * Self-normalizing subgroup