# 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.

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##### Solution Summary

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

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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 ...

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