Is the alternating group A_3 abelian?

Question

Question

Answer 1

Answer #1

Order of alternating group, $43 = 3$ is a prime number.

Since a group of prime order is always cyclic group, so $A_3$ is cyclic group.

Since every cyclic group is an Abelian group, so $A_3$ is an Abelian group.

Answer 2

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