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Cyclic group

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A cyclic group G is a group generated by a single element. Some sources add the stipluation that G be finite. The term monogenous group, however, generally means any group generated by a single element. The distinction is somewhat small, as all infinite monogenous groups are isomorphic to the integers \mathbb{Z} under addition. All other cyclic groups are of the form \mathbb{Z}/n\mathbb{Z}, for some positive integer n.

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