The **alternating group**, denoted $A_n$ is the subgroup of the symmetric group of even permutations. It is of order $\frac{n!}{2}$, and is index $2$ in $S_n$. The group is solvable for $n\leq 4$ and simple for $n\geq 5$.

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- Last edited by Meow Wolf on 2019-05-23 20:34:59

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