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Thread: cyclic group of order m

  1. #1
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    cyclic group of order m

    If G=<a> is a cyclic group of order m generated by an element a∈G, then for each divisor r of m exhibit explicitly an element c∈G of order r.
    Last edited by mr fantastic; Nov 21st 2009 at 10:05 PM. Reason: Changed post title
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Have you even tried this? This really isn't too hard. It doesn't even ask you to show that the element you find with order r is unique. If r|m what can we say about a^{\frac{m}{r}}?
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