Cyclic implies abelian

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This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., cyclic group) must also satisfy the second group property (i.e., abelian group)
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Any cyclic group (i.e., any group generated by only one element) is an abelian group (i.e., any two elements in it commute).

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Using weaker hypotheses to deduce abelianness

Converse of sorts