Centralizer
= Centralizer
{title2=$C_G(x)$}
The centralizer of $x\in G$ is the stabilizer of $x$ under the <conjugation action>:
$$
C_G(x)=\{g\in G:gx=xg\}.
$$
= Centralizer
{title2=$C_G(x)$}
The centralizer of $x\in G$ is the stabilizer of $x$ under the <conjugation action>:
$$
C_G(x)=\{g\in G:gx=xg\}.
$$