Let (G,*) be a group and (S,*) a subgroup of G. Prove that if for an element a in G, there exists m,n in Z, which are relatively prime, such that a^m and a^n is in S, then a is in S.(adsbygoogle = window.adsbygoogle || []).push({});

At the moment, I think the problem is trivial but something just tells me it is not.

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# Homework Help: Groups and subgroupd

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