Prove that if G′ is cyclic then so is G.

Thanks for the help!

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- Oct 22nd 2009, 04:57 PMKiwili49Preserving structural properties
Prove that if G′ is cyclic then so is G.

Thanks for the help! - Oct 22nd 2009, 05:36 PMJose27
Let be a generator for with . Since every is of the form for some we have ie. every element in the image of f comes from some , since is one-one we conclude that every element in is of the form which means is cyclic