Before I start attempting to show that every group of order less than 6 is commutative, is there a shorter/faster way to go about proving this?
2026-03-27 10:45:56.1774608356
Proof that $S_3$ is the smallest non-commutative group
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order of $S_3$ is 6 so brute force is not bad...infact i don't know of any other method apart from the fact that all the orders below 6 are either prime or of the form $p^2$ and hence abelian but these are $big$ theorems which are being used for problems that have easier alternative solution..