# Category:Examples of Normalizers

This category contains examples of Normalizer.

Let $G$ be a group.

Let $S$ be a subset of $G$.

Then the normalizer of $S$ in $G$ is the set $\map {N_G} S$ defined as:

$\map {N_G} S := \set {a \in G: S^a = S}$

where $S^a$ is the $G$-conjugate of $S$ by $a$.

## Pages in category "Examples of Normalizers"

The following 2 pages are in this category, out of 2 total.