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The symmetric group is the group $S_n$ of bijections from $n$ element sets to themselves (called permutations), which is of order $n!$. This group is solvable for $n\leq 4$ and almost simple since $S_n=A_n\rtimes C_2$ for $n\geq 5$.

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  • Review status: reviewed
  • Last edited by Tim Dokchitser on 2019-05-23 20:30:43
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