Proofs of Simplicity of $A_n$

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There are different proofs of simplicity of the group $A_n$, and one can get at least two proofs by choosing randomly 10 books of the subject, so I will not go into what are these proofs? Rather, I would consider, the original references of these proofs. Can one give links for original proofs among the different proofs, including that of Galois or Abel?