I came accross this question. Is the group (ℤ/34/ℤ)(adsbygoogle = window.adsbygoogle || []).push({}); ^{x}cyclic?

We haven't discussed the theorem in class that any units group of Z modulo n is iff n = 1, 2, 4, p^{k}and 2p^{k}(where p is an odd prime). But thanks to Deveno I know about it. So in this case, p =17 works, so the group is cyclic?

but is there a different way to show it besides usingbrute force.

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# Units group of Z modulo

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