a finite group of order n is cyclic iff it has an element of order n | theorem 16 #algebra

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A group of order n is cyclic iff it has an element of order n. A group of order n is cyclic iff it has an element of order n.
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If finite group of order n is containing an element of order n then the group is cyclic If finite group of order n is containing an element of order n then the group is cyclic