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Cyclic implies abelian

Revision as of 00:09, 28 September 2010 by Vipul (talk | contribs) (Created page with "{{group property implication| stronger = cyclic group| weaker = abelian group}} ==Statement== Any cyclic group (i.e., any group generated by only one element) is an [[abeli...")
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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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Contents

Statement

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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