Solution
= Solution
The <normalizer> of $P$ in $G$ is
$$
N_G(P)=\{g\in G:gPg^{-1}=P\}.
$$
It is the stabilizer of the subgroup $P$ under the <conjugation action> of $G$ on its subgroups.
= Solution
The <normalizer> of $P$ in $G$ is
$$
N_G(P)=\{g\in G:gPg^{-1}=P\}.
$$
It is the stabilizer of the subgroup $P$ under the <conjugation action> of $G$ on its subgroups.