Difference between revisions of "Cyclic group"
(New page: A '''cyclic group''' <math>G</math> is a group generated by a single element. Some sources add the stipluation that <math>G</math> be finite. The term '''monogenous group''', however, ge...) |
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Latest revision as of 13:37, 10 May 2008
A cyclic group 
is a group generated by a single element. Some sources add the stipluation that 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 
under addition. All other cyclic groups are of the form 
, for some positive integer 
.
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