Prove that if G′ is cyclic then so is G.
Thanks for the help!
Last edited by Kiwili49; Oct 22nd 2009 at 09:33 PM.
Reason: Done with proof
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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
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