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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?

Shaun
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arwa akq
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    $S_n$ is typically defined as the group of permutations on $n$ points. You'll need to state the definition you are working with if you want to prove that they're equivalent. – nbritten Nov 30 '19 at 16:35
  • This is step 4 of Alexander Gruber's answer to the linked question, found here. – user1729 Nov 30 '19 at 16:44

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This is step 4 of Alexander Gruber's answer to the linked question, found here.

user1729
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