If $G$ is a finite group, then $G$ is isomorphic to some subgroup of $S_n$.
I was able to prove this theorem by using the fist part of Cayley's theorem.
But I can't prove that $S_n$ is isomorphic to a group of permutations. How can I show that?
2026-03-28 11:34:18.1774697658
Cayley's Theorem and proving $S_n$ is isomorphic to a group of permutations.
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This is step 4 of Alexander Gruber's answer to the linked question, found here.