Regarding finite cyclic groups, if a group G, has generator g, then every element [itex] h \in G [/itex] can be written as [itex] h = g^k [/itex] for some k.(adsbygoogle = window.adsbygoogle || []).push({});

But surely every element in G is a generator as for any [itex] k [/itex], [itex] (g^k)^n [/itex] eventually equals all the elements of G as [itex] n [/itex] in takes each integer in turn.

Thanks for any replies!

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# Cyclic groups generator problem!

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