# Category:Alternating Groups

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This category contains results about Alternating Groups.

Let $S_n$ denote the symmetric group on $n$ letters.

For any $\pi \in S_n$, let $\map \sgn \pi$ be the sign of $\pi$.

The kernel of the mapping $\sgn: S_n \to C_2$ is called the **alternating group on $n$ letters** and denoted $A_n$.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### A

### E

## Pages in category "Alternating Groups"

The following 9 pages are in this category, out of 9 total.