# Elements of alternating group A_3 (A sub 3)

List all the elements of the alternating group A_3 (A sub 3) written in cyclic notation.

I come up with

Identity (1) Obviously (123)

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Hint: If a group is cyclic, then find an element that is not the identity and find the group that is generated by that element. That is a subset of your group (and even more so a subgroup, albeit unrelated here). And if the group generated is the size of your desired group (you should know the size of $A_3$), then you have all the elements within your group. If you are unfamiliar with cyclic notation please reference the Wikipedia article.