# Category:Examples of Normalizers

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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.