- #1

friedchicken

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How could I prove if something is a cyclic group? I was wondering because I can prove is something is a group, a subgroup, and a normal subgroup, but I have no Idea as to how to prove something is a cyclic group.

Ex: Suppose K is a group with order 143. Prove K is cyclic.

I read around and I kept seeing something about Sylow's theorems, but I never learned anything like that. Is there another approach?