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    Groups and elements

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    If G is a group of order p^k, where p is a prime and k >=, show that G must have an element of order p.

    © BrainMass Inc. brainmass.com October 9, 2019, 3:51 pm ad1c9bdddf
    https://brainmass.com/math/group-theory/groups-elements-15177

    Solution Preview

    Proof:
    If k=1, the result holds obviously.
    Suppose the result holds for all t less than k, now for |G|=p^k,
    Consider an element g in ...

    Solution Summary

    This is a proof of prime groups and elements with given order.

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