Why the automorphism group of $A_5$ is $S_5$?
I know that $A_5$ has $5$ Sylow-$2$ subgroups and there shall be a homomorphism from $\operatorname{Aut}(A_5)$ to $S_5$.
But how can I prove this homomorphism to be bijective?
2025-01-13 09:48:39.1736761719
Why $\operatorname{Aut}(A_5 )$ is isomorphic to $ S_5$?
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